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Cohomology of the Moduli Space of Rank Two, Odd Degree Vector Bundles over a Real Curve
Репозиторій DSpace/Manakin
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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Cohomology of the Moduli Space of Rank Two, Odd Degree Vector Bundles over a Real Curve
Інший ID:
2010 Mathematics Subject Classification: 53D30; 55R10; 55T20
DOI:10.3842/SIGMA.2016.072
DOI:10.3842/SIGMA.2016.072
Посилання:
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.
Підтримка:
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be non-orientable (a proof later superseded by the work of Okonek–Teleman).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.
Дата:
2016
Переглядів:
517
Завантажень:
299
Анотація:
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.
