Real Slices of SL(, ℂ)-Opers
Through the action of an anti-holomorphic involution (a real structure) on a Riemann surface , we consider the induced actions on SL(, ℂ)-opers and study the real slices fixed by such actions. By constructing this involution for different descriptions of the space of SL(, ℂ)-opers, we can give a na...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2023 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212017 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Real Slices of SL(, ℂ)-Opers. Indranil Biswas, Sebastian Heller and Laura P. Schaposnik. SIGMA 19 (2023), 067, 23 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862609692443803648 |
|---|---|
| author | Biswas, Indranil Heller, Sebastian Schaposnik, Laura P. |
| author_facet | Biswas, Indranil Heller, Sebastian Schaposnik, Laura P. |
| citation_txt | Real Slices of SL(, ℂ)-Opers. Indranil Biswas, Sebastian Heller and Laura P. Schaposnik. SIGMA 19 (2023), 067, 23 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Through the action of an anti-holomorphic involution (a real structure) on a Riemann surface , we consider the induced actions on SL(, ℂ)-opers and study the real slices fixed by such actions. By constructing this involution for different descriptions of the space of SL(, ℂ)-opers, we can give a natural parametrization of the fixed point locus via differentials on the Riemann surface, which in turn allows us to study their geometric properties.
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| first_indexed | 2026-03-14T06:05:42Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212017 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-14T06:05:42Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Biswas, Indranil Heller, Sebastian Schaposnik, Laura P. 2026-01-22T09:19:23Z 2023 Real Slices of SL(, ℂ)-Opers. Indranil Biswas, Sebastian Heller and Laura P. Schaposnik. SIGMA 19 (2023), 067, 23 pages 1815-0659 2020 Mathematics Subject Classification: 14H60; 33C80; 53A55 arXiv:2212.01695 https://nasplib.isofts.kiev.ua/handle/123456789/212017 https://doi.org/10.3842/SIGMA.2023.067 Through the action of an anti-holomorphic involution (a real structure) on a Riemann surface , we consider the induced actions on SL(, ℂ)-opers and study the real slices fixed by such actions. By constructing this involution for different descriptions of the space of SL(, ℂ)-opers, we can give a natural parametrization of the fixed point locus via differentials on the Riemann surface, which in turn allows us to study their geometric properties. We thank the referees for their valuable comments. The work of LPS is partially supported by a Simons Fellowship, NSF CAREER Award DMS 1749013, and NSF FRG Award 2152107. The material presented here is partially based upon work supported by the National Science Foundation under Grant No. DMS-1928930 while LPS was in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the Fall 2022 semester. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Real Slices of SL(, ℂ)-Opers Article published earlier |
| spellingShingle | Real Slices of SL(, ℂ)-Opers Biswas, Indranil Heller, Sebastian Schaposnik, Laura P. |
| title | Real Slices of SL(, ℂ)-Opers |
| title_full | Real Slices of SL(, ℂ)-Opers |
| title_fullStr | Real Slices of SL(, ℂ)-Opers |
| title_full_unstemmed | Real Slices of SL(, ℂ)-Opers |
| title_short | Real Slices of SL(, ℂ)-Opers |
| title_sort | real slices of sl(, ℂ)-opers |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212017 |
| work_keys_str_mv | AT biswasindranil realslicesofslcopers AT hellersebastian realslicesofslcopers AT schaposniklaurap realslicesofslcopers |