Group-Valued Implosion And Conjugation Spaces
| dc.contributor.author | Eshmatov, Alimjon | en_US |
| dc.date.accessioned | 2009-10-14T20:03:53Z | |
| dc.date.available | 2014-10-14T06:24:16Z | |
| dc.date.issued | 2009-10-14T20:03:53Z | |
| dc.description.abstract | This thesis consists of two independent parts. In the first part we discuss group-valued moment maps. Using group-valued implosion, introduced by Hurtubise, Jeffrey and Sjamaar, we construct a new class of examples of quasi-Hamiltonian spaces. Associated to each compact Lie group G there is a universal imploded space D(G)impl . For G = Sp(n) we show that there is a stratum of D(G)impl which has a smooth closure diffeomorphic to HPn - a quaternionic projective space. We show that HPn and S 2n exhaust all examples arising from this construction. The second part is concerned with "conjugation spaces". In particular we study conjugation spaces with a compatible Lie group action. For Lie groups of type A and C, we show that there is a degree halving ring isomorphism from equivariant cohomology of the space to equivariant cohomology of its fixed point set under an involution. | en_US |
| dc.identifier.other | bibid: 6714425 | |
| dc.identifier.uri | https://hdl.handle.net/1813/14023 | |
| dc.language.iso | en_US | en_US |
| dc.title | Group-Valued Implosion And Conjugation Spaces | en_US |
| dc.type | dissertation or thesis | en_US |
Files
Original bundle
1 - 1 of 1