Equivariant Jeffrey-Kirwan theorem in non-compact settings

Diplôme Thèse Equivariant Jeffrey-Kirwan theorem in non-compact settings eng 2013-11-08 author Szilagyi Gesa Zsolt 680597 director Szenes Andras 664272 10.13097/archive-ouverte/unige:35402 urn:nbn:ch:unige-354023 Sc. 4636 In this thesis we prove an equivariant version of the Jeffrey-Kirwan localization theorem for non-compact symplectic and hyper-Kähler quotients. In the non-compact setting the integrals are defined by the Atiyah-Bott-Berline-Vergne formula. We introduce an equivariant version of the Jeffrey-Kirwan residue. As applications, we compute the cohomology ring of the Hilbert scheme of points on the plane in a new way, moreover we also compute Nekrasov's partition function on the framed moduli space of torsion free sheaves on the complex projective plane. Symplectic quotient HyperKahler quotient Jeffrey-Kirwan residue Equivariant cohomology Dewey 510 25 Section de mathématiques 11 false 03c10e2e-7eec-45a4-878e-16b4430e39b9 Thesis Public Szilagyi thesis final.pdf 950290 application/pdf Restricted 2014-05-01 807efa2897043f70054f8e0a496be1d0173fb060798fe5b4f155fefb13e20ea4 openAccess Faculté des sciences / Section de mathématiques

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Szilagyi, Gesa Zsolt