Meromorphic projective structures, grafting and the monodromy map
A meromorphic projective structure on a punctured Riemann surface X ∖ P is determined, after fixing a standard projective structure on X, by a meromorphic quadratic differential with poles of order three or more at each puncture in P. In this article we prove the analogue of Thurston's grafting...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Gupta, Subhojoy [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021transfer abstract |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Evidence of Titan’s climate history from evaporite distribution - MacKenzie, Shannon M. ELSEVIER, 2014, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:383 ; year:2021 ; day:4 ; month:06 ; pages:0 |
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| DOI / URN: |
10.1016/j.aim.2021.107673 |
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| 520 | |a A meromorphic projective structure on a punctured Riemann surface X ∖ P is determined, after fixing a standard projective structure on X, by a meromorphic quadratic differential with poles of order three or more at each puncture in P. In this article we prove the analogue of Thurston's grafting theorem for such meromorphic projective structures, that involves grafting crowned hyperbolic surfaces. This also provides a grafting description for projective structures on C that have polynomial Schwarzian derivatives. As an application of our main result, we prove the analogue of a result of Hejhal, namely, we show that the monodromy map to the decorated character variety (in the sense of Fock-Goncharov) is a local homeomorphism. | ||
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10.1016/j.aim.2021.107673 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001628.pica (DE-627)ELV053722817 (ELSEVIER)S0001-8708(21)00111-0 DE-627 ger DE-627 rakwb eng 520 VZ 530 VZ 570 VZ BIODIV DE-30 fid 44.94 bkl Gupta, Subhojoy verfasserin aut Meromorphic projective structures, grafting and the monodromy map 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A meromorphic projective structure on a punctured Riemann surface X ∖ P is determined, after fixing a standard projective structure on X, by a meromorphic quadratic differential with poles of order three or more at each puncture in P. In this article we prove the analogue of Thurston's grafting theorem for such meromorphic projective structures, that involves grafting crowned hyperbolic surfaces. This also provides a grafting description for projective structures on C that have polynomial Schwarzian derivatives. As an application of our main result, we prove the analogue of a result of Hejhal, namely, we show that the monodromy map to the decorated character variety (in the sense of Fock-Goncharov) is a local homeomorphism. A meromorphic projective structure on a punctured Riemann surface X ∖ P is determined, after fixing a standard projective structure on X, by a meromorphic quadratic differential with poles of order three or more at each puncture in P. In this article we prove the analogue of Thurston's grafting theorem for such meromorphic projective structures, that involves grafting crowned hyperbolic surfaces. This also provides a grafting description for projective structures on C that have polynomial Schwarzian derivatives. As an application of our main result, we prove the analogue of a result of Hejhal, namely, we show that the monodromy map to the decorated character variety (in the sense of Fock-Goncharov) is a local homeomorphism. Complex projective structures Elsevier Meromorphic quadratic differentials Elsevier Mj, Mahan oth Enthalten in Elsevier MacKenzie, Shannon M. ELSEVIER Evidence of Titan’s climate history from evaporite distribution 2014 Amsterdam [u.a.] (DE-627)ELV012586625 volume:383 year:2021 day:4 month:06 pages:0 https://doi.org/10.1016/j.aim.2021.107673 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA GBV_ILN_22 GBV_ILN_359 44.94 Hals-Nasen-Ohrenheilkunde VZ AR 383 2021 4 0604 0 |
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10.1016/j.aim.2021.107673 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001628.pica (DE-627)ELV053722817 (ELSEVIER)S0001-8708(21)00111-0 DE-627 ger DE-627 rakwb eng 520 VZ 530 VZ 570 VZ BIODIV DE-30 fid 44.94 bkl Gupta, Subhojoy verfasserin aut Meromorphic projective structures, grafting and the monodromy map 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A meromorphic projective structure on a punctured Riemann surface X ∖ P is determined, after fixing a standard projective structure on X, by a meromorphic quadratic differential with poles of order three or more at each puncture in P. In this article we prove the analogue of Thurston's grafting theorem for such meromorphic projective structures, that involves grafting crowned hyperbolic surfaces. This also provides a grafting description for projective structures on C that have polynomial Schwarzian derivatives. As an application of our main result, we prove the analogue of a result of Hejhal, namely, we show that the monodromy map to the decorated character variety (in the sense of Fock-Goncharov) is a local homeomorphism. A meromorphic projective structure on a punctured Riemann surface X ∖ P is determined, after fixing a standard projective structure on X, by a meromorphic quadratic differential with poles of order three or more at each puncture in P. In this article we prove the analogue of Thurston's grafting theorem for such meromorphic projective structures, that involves grafting crowned hyperbolic surfaces. This also provides a grafting description for projective structures on C that have polynomial Schwarzian derivatives. As an application of our main result, we prove the analogue of a result of Hejhal, namely, we show that the monodromy map to the decorated character variety (in the sense of Fock-Goncharov) is a local homeomorphism. Complex projective structures Elsevier Meromorphic quadratic differentials Elsevier Mj, Mahan oth Enthalten in Elsevier MacKenzie, Shannon M. ELSEVIER Evidence of Titan’s climate history from evaporite distribution 2014 Amsterdam [u.a.] (DE-627)ELV012586625 volume:383 year:2021 day:4 month:06 pages:0 https://doi.org/10.1016/j.aim.2021.107673 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA GBV_ILN_22 GBV_ILN_359 44.94 Hals-Nasen-Ohrenheilkunde VZ AR 383 2021 4 0604 0 |
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10.1016/j.aim.2021.107673 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001628.pica (DE-627)ELV053722817 (ELSEVIER)S0001-8708(21)00111-0 DE-627 ger DE-627 rakwb eng 520 VZ 530 VZ 570 VZ BIODIV DE-30 fid 44.94 bkl Gupta, Subhojoy verfasserin aut Meromorphic projective structures, grafting and the monodromy map 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A meromorphic projective structure on a punctured Riemann surface X ∖ P is determined, after fixing a standard projective structure on X, by a meromorphic quadratic differential with poles of order three or more at each puncture in P. In this article we prove the analogue of Thurston's grafting theorem for such meromorphic projective structures, that involves grafting crowned hyperbolic surfaces. This also provides a grafting description for projective structures on C that have polynomial Schwarzian derivatives. As an application of our main result, we prove the analogue of a result of Hejhal, namely, we show that the monodromy map to the decorated character variety (in the sense of Fock-Goncharov) is a local homeomorphism. A meromorphic projective structure on a punctured Riemann surface X ∖ P is determined, after fixing a standard projective structure on X, by a meromorphic quadratic differential with poles of order three or more at each puncture in P. In this article we prove the analogue of Thurston's grafting theorem for such meromorphic projective structures, that involves grafting crowned hyperbolic surfaces. This also provides a grafting description for projective structures on C that have polynomial Schwarzian derivatives. As an application of our main result, we prove the analogue of a result of Hejhal, namely, we show that the monodromy map to the decorated character variety (in the sense of Fock-Goncharov) is a local homeomorphism. Complex projective structures Elsevier Meromorphic quadratic differentials Elsevier Mj, Mahan oth Enthalten in Elsevier MacKenzie, Shannon M. ELSEVIER Evidence of Titan’s climate history from evaporite distribution 2014 Amsterdam [u.a.] (DE-627)ELV012586625 volume:383 year:2021 day:4 month:06 pages:0 https://doi.org/10.1016/j.aim.2021.107673 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA GBV_ILN_22 GBV_ILN_359 44.94 Hals-Nasen-Ohrenheilkunde VZ AR 383 2021 4 0604 0 |
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10.1016/j.aim.2021.107673 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001628.pica (DE-627)ELV053722817 (ELSEVIER)S0001-8708(21)00111-0 DE-627 ger DE-627 rakwb eng 520 VZ 530 VZ 570 VZ BIODIV DE-30 fid 44.94 bkl Gupta, Subhojoy verfasserin aut Meromorphic projective structures, grafting and the monodromy map 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A meromorphic projective structure on a punctured Riemann surface X ∖ P is determined, after fixing a standard projective structure on X, by a meromorphic quadratic differential with poles of order three or more at each puncture in P. In this article we prove the analogue of Thurston's grafting theorem for such meromorphic projective structures, that involves grafting crowned hyperbolic surfaces. This also provides a grafting description for projective structures on C that have polynomial Schwarzian derivatives. As an application of our main result, we prove the analogue of a result of Hejhal, namely, we show that the monodromy map to the decorated character variety (in the sense of Fock-Goncharov) is a local homeomorphism. A meromorphic projective structure on a punctured Riemann surface X ∖ P is determined, after fixing a standard projective structure on X, by a meromorphic quadratic differential with poles of order three or more at each puncture in P. In this article we prove the analogue of Thurston's grafting theorem for such meromorphic projective structures, that involves grafting crowned hyperbolic surfaces. This also provides a grafting description for projective structures on C that have polynomial Schwarzian derivatives. As an application of our main result, we prove the analogue of a result of Hejhal, namely, we show that the monodromy map to the decorated character variety (in the sense of Fock-Goncharov) is a local homeomorphism. Complex projective structures Elsevier Meromorphic quadratic differentials Elsevier Mj, Mahan oth Enthalten in Elsevier MacKenzie, Shannon M. ELSEVIER Evidence of Titan’s climate history from evaporite distribution 2014 Amsterdam [u.a.] (DE-627)ELV012586625 volume:383 year:2021 day:4 month:06 pages:0 https://doi.org/10.1016/j.aim.2021.107673 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA GBV_ILN_22 GBV_ILN_359 44.94 Hals-Nasen-Ohrenheilkunde VZ AR 383 2021 4 0604 0 |
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10.1016/j.aim.2021.107673 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001628.pica (DE-627)ELV053722817 (ELSEVIER)S0001-8708(21)00111-0 DE-627 ger DE-627 rakwb eng 520 VZ 530 VZ 570 VZ BIODIV DE-30 fid 44.94 bkl Gupta, Subhojoy verfasserin aut Meromorphic projective structures, grafting and the monodromy map 2021transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A meromorphic projective structure on a punctured Riemann surface X ∖ P is determined, after fixing a standard projective structure on X, by a meromorphic quadratic differential with poles of order three or more at each puncture in P. In this article we prove the analogue of Thurston's grafting theorem for such meromorphic projective structures, that involves grafting crowned hyperbolic surfaces. This also provides a grafting description for projective structures on C that have polynomial Schwarzian derivatives. As an application of our main result, we prove the analogue of a result of Hejhal, namely, we show that the monodromy map to the decorated character variety (in the sense of Fock-Goncharov) is a local homeomorphism. A meromorphic projective structure on a punctured Riemann surface X ∖ P is determined, after fixing a standard projective structure on X, by a meromorphic quadratic differential with poles of order three or more at each puncture in P. In this article we prove the analogue of Thurston's grafting theorem for such meromorphic projective structures, that involves grafting crowned hyperbolic surfaces. This also provides a grafting description for projective structures on C that have polynomial Schwarzian derivatives. As an application of our main result, we prove the analogue of a result of Hejhal, namely, we show that the monodromy map to the decorated character variety (in the sense of Fock-Goncharov) is a local homeomorphism. Complex projective structures Elsevier Meromorphic quadratic differentials Elsevier Mj, Mahan oth Enthalten in Elsevier MacKenzie, Shannon M. ELSEVIER Evidence of Titan’s climate history from evaporite distribution 2014 Amsterdam [u.a.] (DE-627)ELV012586625 volume:383 year:2021 day:4 month:06 pages:0 https://doi.org/10.1016/j.aim.2021.107673 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA GBV_ILN_22 GBV_ILN_359 44.94 Hals-Nasen-Ohrenheilkunde VZ AR 383 2021 4 0604 0 |
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Elektronische Aufsätze |
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Gupta, Subhojoy |
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10.1016/j.aim.2021.107673 |
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520 530 570 |
| title_sort |
meromorphic projective structures, grafting and the monodromy map |
| title_auth |
Meromorphic projective structures, grafting and the monodromy map |
| abstract |
A meromorphic projective structure on a punctured Riemann surface X ∖ P is determined, after fixing a standard projective structure on X, by a meromorphic quadratic differential with poles of order three or more at each puncture in P. In this article we prove the analogue of Thurston's grafting theorem for such meromorphic projective structures, that involves grafting crowned hyperbolic surfaces. This also provides a grafting description for projective structures on C that have polynomial Schwarzian derivatives. As an application of our main result, we prove the analogue of a result of Hejhal, namely, we show that the monodromy map to the decorated character variety (in the sense of Fock-Goncharov) is a local homeomorphism. |
| abstractGer |
A meromorphic projective structure on a punctured Riemann surface X ∖ P is determined, after fixing a standard projective structure on X, by a meromorphic quadratic differential with poles of order three or more at each puncture in P. In this article we prove the analogue of Thurston's grafting theorem for such meromorphic projective structures, that involves grafting crowned hyperbolic surfaces. This also provides a grafting description for projective structures on C that have polynomial Schwarzian derivatives. As an application of our main result, we prove the analogue of a result of Hejhal, namely, we show that the monodromy map to the decorated character variety (in the sense of Fock-Goncharov) is a local homeomorphism. |
| abstract_unstemmed |
A meromorphic projective structure on a punctured Riemann surface X ∖ P is determined, after fixing a standard projective structure on X, by a meromorphic quadratic differential with poles of order three or more at each puncture in P. In this article we prove the analogue of Thurston's grafting theorem for such meromorphic projective structures, that involves grafting crowned hyperbolic surfaces. This also provides a grafting description for projective structures on C that have polynomial Schwarzian derivatives. As an application of our main result, we prove the analogue of a result of Hejhal, namely, we show that the monodromy map to the decorated character variety (in the sense of Fock-Goncharov) is a local homeomorphism. |
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| title_short |
Meromorphic projective structures, grafting and the monodromy map |
| url |
https://doi.org/10.1016/j.aim.2021.107673 |
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Mj, Mahan |
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2024-07-06T19:44:10.080Z |
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