Free Fermions on a Piecewise Linear Four-Manifold. II: Pachner Moves
Abstract This is the second in a series of papers where we construct an invariant of a four-dimensional piecewise linear manifold M with a given middle cohomology class %$h\in H^{2}(M,\mathbb C)%$. This invariant is the square root of the torsion of unusual chain complex introduced in Part I of our...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Korepanov, I. G. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer International Publishing AG 2017 |
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| Übergeordnetes Werk: |
Enthalten in: Advances in applied Clifford algebras - Cham (ZG) : Springer International Publishing AG, 1997, 27(2017), 4 vom: 03. Okt., Seite 3129-3147 |
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| Übergeordnetes Werk: |
volume:27 ; year:2017 ; number:4 ; day:03 ; month:10 ; pages:3129-3147 |
| Links: |
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| DOI / URN: |
10.1007/s00006-017-0811-1 |
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| Katalog-ID: |
SPR000093904 |
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| 100 | 1 | |a Korepanov, I. G. |e verfasserin |0 (orcid)0000-0001-5602-4018 |4 aut | |
| 245 | 1 | 0 | |a Free Fermions on a Piecewise Linear Four-Manifold. II: Pachner Moves |
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| 520 | |a Abstract This is the second in a series of papers where we construct an invariant of a four-dimensional piecewise linear manifold M with a given middle cohomology class %$h\in H^{2}(M,\mathbb C)%$. This invariant is the square root of the torsion of unusual chain complex introduced in Part I of our work, multiplied by a correcting factor. Here we find this factor by studying the behavior of our construction under all four-dimensional Pachner moves, and show that it can be represented in a multiplicative form: a product of same-type multipliers over all 2-faces, multiplied by a product of same-type multipliers over all pentachora. | ||
| 650 | 4 | |a Piecewise linear manifolds |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Four-manifolds |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Topological quantum field theory |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Fermions |7 (dpeaa)DE-He213 | |
| 773 | 0 | 8 | |i Enthalten in |t Advances in applied Clifford algebras |d Cham (ZG) : Springer International Publishing AG, 1997 |g 27(2017), 4 vom: 03. Okt., Seite 3129-3147 |w (DE-627)507183274 |w (DE-600)2220151-8 |x 1661-4909 |7 nnns |
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10.1007/s00006-017-0811-1 doi (DE-627)SPR000093904 (SPR)s00006-017-0811-1-e DE-627 ger DE-627 rakwb eng Korepanov, I. G. verfasserin (orcid)0000-0001-5602-4018 aut Free Fermions on a Piecewise Linear Four-Manifold. II: Pachner Moves 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer International Publishing AG 2017 Abstract This is the second in a series of papers where we construct an invariant of a four-dimensional piecewise linear manifold M with a given middle cohomology class %$h\in H^{2}(M,\mathbb C)%$. This invariant is the square root of the torsion of unusual chain complex introduced in Part I of our work, multiplied by a correcting factor. Here we find this factor by studying the behavior of our construction under all four-dimensional Pachner moves, and show that it can be represented in a multiplicative form: a product of same-type multipliers over all 2-faces, multiplied by a product of same-type multipliers over all pentachora. Piecewise linear manifolds (dpeaa)DE-He213 Four-manifolds (dpeaa)DE-He213 Topological quantum field theory (dpeaa)DE-He213 Fermions (dpeaa)DE-He213 Enthalten in Advances in applied Clifford algebras Cham (ZG) : Springer International Publishing AG, 1997 27(2017), 4 vom: 03. Okt., Seite 3129-3147 (DE-627)507183274 (DE-600)2220151-8 1661-4909 nnns volume:27 year:2017 number:4 day:03 month:10 pages:3129-3147 https://dx.doi.org/10.1007/s00006-017-0811-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 27 2017 4 03 10 3129-3147 |
| spelling |
10.1007/s00006-017-0811-1 doi (DE-627)SPR000093904 (SPR)s00006-017-0811-1-e DE-627 ger DE-627 rakwb eng Korepanov, I. G. verfasserin (orcid)0000-0001-5602-4018 aut Free Fermions on a Piecewise Linear Four-Manifold. II: Pachner Moves 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer International Publishing AG 2017 Abstract This is the second in a series of papers where we construct an invariant of a four-dimensional piecewise linear manifold M with a given middle cohomology class %$h\in H^{2}(M,\mathbb C)%$. This invariant is the square root of the torsion of unusual chain complex introduced in Part I of our work, multiplied by a correcting factor. Here we find this factor by studying the behavior of our construction under all four-dimensional Pachner moves, and show that it can be represented in a multiplicative form: a product of same-type multipliers over all 2-faces, multiplied by a product of same-type multipliers over all pentachora. Piecewise linear manifolds (dpeaa)DE-He213 Four-manifolds (dpeaa)DE-He213 Topological quantum field theory (dpeaa)DE-He213 Fermions (dpeaa)DE-He213 Enthalten in Advances in applied Clifford algebras Cham (ZG) : Springer International Publishing AG, 1997 27(2017), 4 vom: 03. Okt., Seite 3129-3147 (DE-627)507183274 (DE-600)2220151-8 1661-4909 nnns volume:27 year:2017 number:4 day:03 month:10 pages:3129-3147 https://dx.doi.org/10.1007/s00006-017-0811-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 27 2017 4 03 10 3129-3147 |
| allfields_unstemmed |
10.1007/s00006-017-0811-1 doi (DE-627)SPR000093904 (SPR)s00006-017-0811-1-e DE-627 ger DE-627 rakwb eng Korepanov, I. G. verfasserin (orcid)0000-0001-5602-4018 aut Free Fermions on a Piecewise Linear Four-Manifold. II: Pachner Moves 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer International Publishing AG 2017 Abstract This is the second in a series of papers where we construct an invariant of a four-dimensional piecewise linear manifold M with a given middle cohomology class %$h\in H^{2}(M,\mathbb C)%$. This invariant is the square root of the torsion of unusual chain complex introduced in Part I of our work, multiplied by a correcting factor. Here we find this factor by studying the behavior of our construction under all four-dimensional Pachner moves, and show that it can be represented in a multiplicative form: a product of same-type multipliers over all 2-faces, multiplied by a product of same-type multipliers over all pentachora. Piecewise linear manifolds (dpeaa)DE-He213 Four-manifolds (dpeaa)DE-He213 Topological quantum field theory (dpeaa)DE-He213 Fermions (dpeaa)DE-He213 Enthalten in Advances in applied Clifford algebras Cham (ZG) : Springer International Publishing AG, 1997 27(2017), 4 vom: 03. Okt., Seite 3129-3147 (DE-627)507183274 (DE-600)2220151-8 1661-4909 nnns volume:27 year:2017 number:4 day:03 month:10 pages:3129-3147 https://dx.doi.org/10.1007/s00006-017-0811-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 27 2017 4 03 10 3129-3147 |
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10.1007/s00006-017-0811-1 doi (DE-627)SPR000093904 (SPR)s00006-017-0811-1-e DE-627 ger DE-627 rakwb eng Korepanov, I. G. verfasserin (orcid)0000-0001-5602-4018 aut Free Fermions on a Piecewise Linear Four-Manifold. II: Pachner Moves 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer International Publishing AG 2017 Abstract This is the second in a series of papers where we construct an invariant of a four-dimensional piecewise linear manifold M with a given middle cohomology class %$h\in H^{2}(M,\mathbb C)%$. This invariant is the square root of the torsion of unusual chain complex introduced in Part I of our work, multiplied by a correcting factor. Here we find this factor by studying the behavior of our construction under all four-dimensional Pachner moves, and show that it can be represented in a multiplicative form: a product of same-type multipliers over all 2-faces, multiplied by a product of same-type multipliers over all pentachora. Piecewise linear manifolds (dpeaa)DE-He213 Four-manifolds (dpeaa)DE-He213 Topological quantum field theory (dpeaa)DE-He213 Fermions (dpeaa)DE-He213 Enthalten in Advances in applied Clifford algebras Cham (ZG) : Springer International Publishing AG, 1997 27(2017), 4 vom: 03. Okt., Seite 3129-3147 (DE-627)507183274 (DE-600)2220151-8 1661-4909 nnns volume:27 year:2017 number:4 day:03 month:10 pages:3129-3147 https://dx.doi.org/10.1007/s00006-017-0811-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 27 2017 4 03 10 3129-3147 |
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Enthalten in Advances in applied Clifford algebras 27(2017), 4 vom: 03. Okt., Seite 3129-3147 volume:27 year:2017 number:4 day:03 month:10 pages:3129-3147 |
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Korepanov, I. G. |
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Korepanov, I. G. misc Piecewise linear manifolds misc Four-manifolds misc Topological quantum field theory misc Fermions Free Fermions on a Piecewise Linear Four-Manifold. II: Pachner Moves |
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Free Fermions on a Piecewise Linear Four-Manifold. II: Pachner Moves Piecewise linear manifolds (dpeaa)DE-He213 Four-manifolds (dpeaa)DE-He213 Topological quantum field theory (dpeaa)DE-He213 Fermions (dpeaa)DE-He213 |
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free fermions on a piecewise linear four-manifold. ii: pachner moves |
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Free Fermions on a Piecewise Linear Four-Manifold. II: Pachner Moves |
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Abstract This is the second in a series of papers where we construct an invariant of a four-dimensional piecewise linear manifold M with a given middle cohomology class %$h\in H^{2}(M,\mathbb C)%$. This invariant is the square root of the torsion of unusual chain complex introduced in Part I of our work, multiplied by a correcting factor. Here we find this factor by studying the behavior of our construction under all four-dimensional Pachner moves, and show that it can be represented in a multiplicative form: a product of same-type multipliers over all 2-faces, multiplied by a product of same-type multipliers over all pentachora. © Springer International Publishing AG 2017 |
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Abstract This is the second in a series of papers where we construct an invariant of a four-dimensional piecewise linear manifold M with a given middle cohomology class %$h\in H^{2}(M,\mathbb C)%$. This invariant is the square root of the torsion of unusual chain complex introduced in Part I of our work, multiplied by a correcting factor. Here we find this factor by studying the behavior of our construction under all four-dimensional Pachner moves, and show that it can be represented in a multiplicative form: a product of same-type multipliers over all 2-faces, multiplied by a product of same-type multipliers over all pentachora. © Springer International Publishing AG 2017 |
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Abstract This is the second in a series of papers where we construct an invariant of a four-dimensional piecewise linear manifold M with a given middle cohomology class %$h\in H^{2}(M,\mathbb C)%$. This invariant is the square root of the torsion of unusual chain complex introduced in Part I of our work, multiplied by a correcting factor. Here we find this factor by studying the behavior of our construction under all four-dimensional Pachner moves, and show that it can be represented in a multiplicative form: a product of same-type multipliers over all 2-faces, multiplied by a product of same-type multipliers over all pentachora. © Springer International Publishing AG 2017 |
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Free Fermions on a Piecewise Linear Four-Manifold. II: Pachner Moves |
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