Exotic components of SO(p,q) surface group representations, and their Higgs bundle avatars
For semisimple Lie groups, moduli spaces of Higgs bundles on a Riemann surface correspond to representation varieties for the surface fundamental group. In many cases, natural topological invariants label connected components of the moduli spaces. Hitchin representations into split real forms, and m...
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Aparicio-Arroyo, Marta [verfasserIn] |
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E-Artikel |
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Englisch |
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2018transfer abstract |
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8 |
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Enthalten in: Robust global error bounds for uncertain linear inequality systems with applications - Chuong, T.D. ELSEVIER, 2016transfer abstract, Paris |
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volume:356 ; year:2018 ; number:6 ; pages:666-673 ; extent:8 |
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10.1016/j.crma.2018.04.024 |
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| 520 | |a For semisimple Lie groups, moduli spaces of Higgs bundles on a Riemann surface correspond to representation varieties for the surface fundamental group. In many cases, natural topological invariants label connected components of the moduli spaces. Hitchin representations into split real forms, and maximal representations into Hermitian Lie groups, are the only previously know cases where natural invariants do not fully distinguish connected components. In this note we announce the existence of new such exotic components in the moduli spaces for the groups SO ( p , q ) with 2 < p < q . These groups lie outside formerly know classes of groups associated with exotic components. | ||
| 520 | |a For semisimple Lie groups, moduli spaces of Higgs bundles on a Riemann surface correspond to representation varieties for the surface fundamental group. In many cases, natural topological invariants label connected components of the moduli spaces. Hitchin representations into split real forms, and maximal representations into Hermitian Lie groups, are the only previously know cases where natural invariants do not fully distinguish connected components. In this note we announce the existence of new such exotic components in the moduli spaces for the groups SO ( p , q ) with 2 < p < q . These groups lie outside formerly know classes of groups associated with exotic components. | ||
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| 700 | 1 | |a Collier, Brian |4 oth | |
| 700 | 1 | |a García-Prada, Oscar |4 oth | |
| 700 | 1 | |a Gothen, Peter B. |4 oth | |
| 700 | 1 | |a Oliveira, André |4 oth | |
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10.1016/j.crma.2018.04.024 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000870.pica (DE-627)ELV04321939X (ELSEVIER)S1631-073X(18)30151-1 DE-627 ger DE-627 rakwb eng 510 VZ 690 VZ 530 620 VZ 52.56 bkl Aparicio-Arroyo, Marta verfasserin aut Exotic components of SO(p,q) surface group representations, and their Higgs bundle avatars 2018transfer abstract 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier For semisimple Lie groups, moduli spaces of Higgs bundles on a Riemann surface correspond to representation varieties for the surface fundamental group. In many cases, natural topological invariants label connected components of the moduli spaces. Hitchin representations into split real forms, and maximal representations into Hermitian Lie groups, are the only previously know cases where natural invariants do not fully distinguish connected components. In this note we announce the existence of new such exotic components in the moduli spaces for the groups SO ( p , q ) with 2 < p < q . These groups lie outside formerly know classes of groups associated with exotic components. For semisimple Lie groups, moduli spaces of Higgs bundles on a Riemann surface correspond to representation varieties for the surface fundamental group. In many cases, natural topological invariants label connected components of the moduli spaces. Hitchin representations into split real forms, and maximal representations into Hermitian Lie groups, are the only previously know cases where natural invariants do not fully distinguish connected components. In this note we announce the existence of new such exotic components in the moduli spaces for the groups SO ( p , q ) with 2 < p < q . These groups lie outside formerly know classes of groups associated with exotic components. Bradlow, Steven oth Collier, Brian oth García-Prada, Oscar oth Gothen, Peter B. oth Oliveira, André oth Enthalten in Elsevier Chuong, T.D. ELSEVIER Robust global error bounds for uncertain linear inequality systems with applications 2016transfer abstract Paris (DE-627)ELV024881481 volume:356 year:2018 number:6 pages:666-673 extent:8 https://doi.org/10.1016/j.crma.2018.04.024 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 52.56 Regenerative Energieformen alternative Energieformen VZ AR 356 2018 6 666-673 8 |
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10.1016/j.crma.2018.04.024 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000870.pica (DE-627)ELV04321939X (ELSEVIER)S1631-073X(18)30151-1 DE-627 ger DE-627 rakwb eng 510 VZ 690 VZ 530 620 VZ 52.56 bkl Aparicio-Arroyo, Marta verfasserin aut Exotic components of SO(p,q) surface group representations, and their Higgs bundle avatars 2018transfer abstract 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier For semisimple Lie groups, moduli spaces of Higgs bundles on a Riemann surface correspond to representation varieties for the surface fundamental group. In many cases, natural topological invariants label connected components of the moduli spaces. Hitchin representations into split real forms, and maximal representations into Hermitian Lie groups, are the only previously know cases where natural invariants do not fully distinguish connected components. In this note we announce the existence of new such exotic components in the moduli spaces for the groups SO ( p , q ) with 2 < p < q . These groups lie outside formerly know classes of groups associated with exotic components. For semisimple Lie groups, moduli spaces of Higgs bundles on a Riemann surface correspond to representation varieties for the surface fundamental group. In many cases, natural topological invariants label connected components of the moduli spaces. Hitchin representations into split real forms, and maximal representations into Hermitian Lie groups, are the only previously know cases where natural invariants do not fully distinguish connected components. In this note we announce the existence of new such exotic components in the moduli spaces for the groups SO ( p , q ) with 2 < p < q . These groups lie outside formerly know classes of groups associated with exotic components. Bradlow, Steven oth Collier, Brian oth García-Prada, Oscar oth Gothen, Peter B. oth Oliveira, André oth Enthalten in Elsevier Chuong, T.D. ELSEVIER Robust global error bounds for uncertain linear inequality systems with applications 2016transfer abstract Paris (DE-627)ELV024881481 volume:356 year:2018 number:6 pages:666-673 extent:8 https://doi.org/10.1016/j.crma.2018.04.024 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 52.56 Regenerative Energieformen alternative Energieformen VZ AR 356 2018 6 666-673 8 |
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10.1016/j.crma.2018.04.024 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000870.pica (DE-627)ELV04321939X (ELSEVIER)S1631-073X(18)30151-1 DE-627 ger DE-627 rakwb eng 510 VZ 690 VZ 530 620 VZ 52.56 bkl Aparicio-Arroyo, Marta verfasserin aut Exotic components of SO(p,q) surface group representations, and their Higgs bundle avatars 2018transfer abstract 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier For semisimple Lie groups, moduli spaces of Higgs bundles on a Riemann surface correspond to representation varieties for the surface fundamental group. In many cases, natural topological invariants label connected components of the moduli spaces. Hitchin representations into split real forms, and maximal representations into Hermitian Lie groups, are the only previously know cases where natural invariants do not fully distinguish connected components. In this note we announce the existence of new such exotic components in the moduli spaces for the groups SO ( p , q ) with 2 < p < q . These groups lie outside formerly know classes of groups associated with exotic components. For semisimple Lie groups, moduli spaces of Higgs bundles on a Riemann surface correspond to representation varieties for the surface fundamental group. In many cases, natural topological invariants label connected components of the moduli spaces. Hitchin representations into split real forms, and maximal representations into Hermitian Lie groups, are the only previously know cases where natural invariants do not fully distinguish connected components. In this note we announce the existence of new such exotic components in the moduli spaces for the groups SO ( p , q ) with 2 < p < q . These groups lie outside formerly know classes of groups associated with exotic components. Bradlow, Steven oth Collier, Brian oth García-Prada, Oscar oth Gothen, Peter B. oth Oliveira, André oth Enthalten in Elsevier Chuong, T.D. ELSEVIER Robust global error bounds for uncertain linear inequality systems with applications 2016transfer abstract Paris (DE-627)ELV024881481 volume:356 year:2018 number:6 pages:666-673 extent:8 https://doi.org/10.1016/j.crma.2018.04.024 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 52.56 Regenerative Energieformen alternative Energieformen VZ AR 356 2018 6 666-673 8 |
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Exotic components of SO(p,q) surface group representations, and their Higgs bundle avatars |
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For semisimple Lie groups, moduli spaces of Higgs bundles on a Riemann surface correspond to representation varieties for the surface fundamental group. In many cases, natural topological invariants label connected components of the moduli spaces. Hitchin representations into split real forms, and maximal representations into Hermitian Lie groups, are the only previously know cases where natural invariants do not fully distinguish connected components. In this note we announce the existence of new such exotic components in the moduli spaces for the groups SO ( p , q ) with 2 < p < q . These groups lie outside formerly know classes of groups associated with exotic components. |
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For semisimple Lie groups, moduli spaces of Higgs bundles on a Riemann surface correspond to representation varieties for the surface fundamental group. In many cases, natural topological invariants label connected components of the moduli spaces. Hitchin representations into split real forms, and maximal representations into Hermitian Lie groups, are the only previously know cases where natural invariants do not fully distinguish connected components. In this note we announce the existence of new such exotic components in the moduli spaces for the groups SO ( p , q ) with 2 < p < q . These groups lie outside formerly know classes of groups associated with exotic components. |
| abstract_unstemmed |
For semisimple Lie groups, moduli spaces of Higgs bundles on a Riemann surface correspond to representation varieties for the surface fundamental group. In many cases, natural topological invariants label connected components of the moduli spaces. Hitchin representations into split real forms, and maximal representations into Hermitian Lie groups, are the only previously know cases where natural invariants do not fully distinguish connected components. In this note we announce the existence of new such exotic components in the moduli spaces for the groups SO ( p , q ) with 2 < p < q . These groups lie outside formerly know classes of groups associated with exotic components. |
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| title_short |
Exotic components of SO(p,q) surface group representations, and their Higgs bundle avatars |
| url |
https://doi.org/10.1016/j.crma.2018.04.024 |
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| author2 |
Bradlow, Steven Collier, Brian García-Prada, Oscar Gothen, Peter B. Oliveira, André |
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Bradlow, Steven Collier, Brian García-Prada, Oscar Gothen, Peter B. Oliveira, André |
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| doi_str |
10.1016/j.crma.2018.04.024 |
| up_date |
2024-07-06T18:14:44.275Z |
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