Cohomology of the Moduli Space of Rank Two, Odd Degree Vector Bundles over a Real Curve
We consider the moduli space of rank two, odd degree, semi-stable Real vector bundles over a real curve, calculating the singular cohomology ring in odd and zero characteristic for most examples.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2016
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147727 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Cohomology of the Moduli Space of Rank Two, Odd Degree Vector Bundles over a Real Curve / T.J. Baird // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862635372273467392 |
|---|---|
| author | Baird, T.J. |
| author_facet | Baird, T.J. |
| citation_txt | Cohomology of the Moduli Space of Rank Two, Odd Degree Vector Bundles over a Real Curve / T.J. Baird // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We consider the moduli space of rank two, odd degree, semi-stable Real vector bundles over a real curve, calculating the singular cohomology ring in odd and zero characteristic for most examples.
|
| first_indexed | 2025-11-30T17:43:18Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147727 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-30T17:43:18Z |
| publishDate | 2016 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Baird, T.J. 2019-02-15T18:47:59Z 2019-02-15T18:47:59Z 2016 Cohomology of the Moduli Space of Rank Two, Odd Degree Vector Bundles over a Real Curve / T.J. Baird // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 14 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 53D30; 55R10; 55T20 DOI:10.3842/SIGMA.2016.072 https://nasplib.isofts.kiev.ua/handle/123456789/147727 We consider the moduli space of rank two, odd degree, semi-stable Real vector bundles over a real curve, calculating the singular cohomology ring in odd and zero characteristic for most examples. A special thanks to Jacques Hurtubise and Ben Smith who began this project as collaborators
 and contributed to some of the exposition. Jacques in particular helped motivate this project
 by establishing criteria for the normal bundles of the real Harder–Narasimhan stratification to
 be non-orientable (a proof later superseded by the work of Okonek–Teleman). Thanks also to
 Andrei Teleman and other the participants at the Real vector bundles conference in Brest for
 helpful discussions, and to the referees for helpful comments. This research was supported by
 an NSERC Discovery Grant. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Cohomology of the Moduli Space of Rank Two, Odd Degree Vector Bundles over a Real Curve Article published earlier |
| spellingShingle | Cohomology of the Moduli Space of Rank Two, Odd Degree Vector Bundles over a Real Curve Baird, T.J. |
| title | Cohomology of the Moduli Space of Rank Two, Odd Degree Vector Bundles over a Real Curve |
| title_full | Cohomology of the Moduli Space of Rank Two, Odd Degree Vector Bundles over a Real Curve |
| title_fullStr | Cohomology of the Moduli Space of Rank Two, Odd Degree Vector Bundles over a Real Curve |
| title_full_unstemmed | Cohomology of the Moduli Space of Rank Two, Odd Degree Vector Bundles over a Real Curve |
| title_short | Cohomology of the Moduli Space of Rank Two, Odd Degree Vector Bundles over a Real Curve |
| title_sort | cohomology of the moduli space of rank two, odd degree vector bundles over a real curve |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147727 |
| work_keys_str_mv | AT bairdtj cohomologyofthemodulispaceofranktwoodddegreevectorbundlesoverarealcurve |