On Higgs Bundles on Nodal Curves
This is a review article on some applications of generalised parabolic structures to the study of torsion-free sheaves and L-twisted Hitchin pairs on nodal curves. In particular, we survey the relation between representations of the fundamental group of a nodal curve and the moduli spaces of general...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2019 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2019
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/210051 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On Higgs Bundles on Nodal Curves / M. Logares // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 26 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862636076939608064 |
|---|---|
| author | Logares, M. |
| author_facet | Logares, M. |
| citation_txt | On Higgs Bundles on Nodal Curves / M. Logares // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 26 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | This is a review article on some applications of generalised parabolic structures to the study of torsion-free sheaves and L-twisted Hitchin pairs on nodal curves. In particular, we survey the relation between representations of the fundamental group of a nodal curve and the moduli spaces of generalised parabolic bundles and generalised parabolic L-twisted Hitchin pairs on its normalisation, as well as on an analogue of the Hitchin map for generalised parabolic L-twisted Hitchin pairs.
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| first_indexed | 2025-12-07T21:24:12Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210051 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:24:12Z |
| publishDate | 2019 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Logares, M. 2025-12-02T09:28:09Z 2019 On Higgs Bundles on Nodal Curves / M. Logares // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 26 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 14H60; 14D20 arXiv: 1809.06021 https://nasplib.isofts.kiev.ua/handle/123456789/210051 https://doi.org/10.3842/SIGMA.2019.024 This is a review article on some applications of generalised parabolic structures to the study of torsion-free sheaves and L-twisted Hitchin pairs on nodal curves. In particular, we survey the relation between representations of the fundamental group of a nodal curve and the moduli spaces of generalised parabolic bundles and generalised parabolic L-twisted Hitchin pairs on its normalisation, as well as on an analogue of the Hitchin map for generalised parabolic L-twisted Hitchin pairs. The author would like to thank U.N. Bhosle for very useful explanations, the referees for a detailed review of the manuscript, and L. Schaposnik for the organisation of the Workshop on the geometry and physics of Higgs bundles I. The author also acknowledges support by L.P. Schaposnik’s UIC Start-up fund, NSF RTG grant DMS-1246844, the GEAR Network NSF DMS grants 1107452, 1107263, and 1107367 "RNMS: GEometric structures And Representation varieties", and the Marie Sklodowska Curie grant GREAT - DLV-654490. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Higgs Bundles on Nodal Curves Article published earlier |
| spellingShingle | On Higgs Bundles on Nodal Curves Logares, M. |
| title | On Higgs Bundles on Nodal Curves |
| title_full | On Higgs Bundles on Nodal Curves |
| title_fullStr | On Higgs Bundles on Nodal Curves |
| title_full_unstemmed | On Higgs Bundles on Nodal Curves |
| title_short | On Higgs Bundles on Nodal Curves |
| title_sort | on higgs bundles on nodal curves |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210051 |
| work_keys_str_mv | AT logaresm onhiggsbundlesonnodalcurves |