The moduli space of flat SU(2)-bundles over a nonorientable surface
| dc.creator | Baird, Thomas | |
| dc.date | 2008-06-11 | |
| dc.date | 2008-12-31 | |
| dc.date.accessioned | 2026-07-07T12:38:03Z | |
| dc.date.available | 2026-07-07T12:38:03Z | |
| dc.description | We study the topology of the moduli space of flat SU(2)-bundles over a nonorientable surface X. This moduli space may be identified with the space of homomorphisms Hom(π_1(X),SU(2)) modulo conjugation by SU(2). In particular, we compute the (rational) equivariant cohomology ring of Hom(π_1(X),SU(2)) and use this to compute the ordinary cohomology groups of the quotient Hom(π_1(X),SU(2))/SU(2). A key property is that the conjugation action is equivariantly formal. | |
| dc.description | 23 pages - some reviewer recommended edits, a "proof" is upgraded to a proof | |
| dc.identifier | https://arxiv.org/abs/0806.1975 | |
| dc.identifier | http://arxiv.org/abs/0806.1975 | |
| dc.identifier | The Quarterly Journal of Mathematics 2009 | |
| dc.identifier | doi:10.1093/qmath/han040 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/218621 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.title | The moduli space of flat SU(2)-bundles over a nonorientable surface | |
| dc.type | text |