Equivariant volumes of non-compact quotients and instanton counting

Simple item page
dc.creatorMartens, Johan
dc.date2006-09-29
dc.date2007-10-23
dc.date.accessioned2026-07-07T11:44:16Z
dc.date.available2026-07-07T11:44:16Z
dc.descriptionMotivated by Nekrasov's instanton counting, we discuss a method for calculating equivariant volumes of non-compact quotients in symplectic and hyper-Kähler geometry by means of the Jeffrey-Kirwan residue-formula of non-abelian localization. In order to overcome the non-compactness, we use varying symplectic cuts to reduce the problem to a compact setting, and study what happens in the limit that recovers the original problem. We implement this method for the ADHM construction of the moduli spaces of framed Yang-Mills instantons on $\R^{4}$ and rederive the formulas for the equivariant volumes obtained earlier by Nekrasov-Shadchin, expressing these volumes as iterated residues of a single rational function.
dc.description34 pages, 2 figures; minor typos corrected, to appear in Comm. Math. Phys
dc.identifierhttps://arxiv.org/abs/math/0609841
dc.identifierhttp://arxiv.org/abs/math/0609841
dc.identifierCommun.Math.Phys.281:827-857,2008
dc.identifierdoi:10.1007/s00220-008-0501-x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201541
dc.subjectSymplectic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.subject53D20;53Z05
dc.titleEquivariant volumes of non-compact quotients and instanton counting
dc.typetext

Files

Collections

arXiv