A perfect Morse function on the moduli space of flat connections

Simple item page
dc.creatorThaddeus, Michael
dc.date1998-12-01
dc.date.accessioned2026-07-07T05:27:03Z
dc.date.available2026-07-07T05:27:03Z
dc.descriptionThe moduli space of flat SU(2) connections on a punctured surface, having prescribed holonomy around the punctures, is a compact smooth manifold if the prescription is generic. This paper gives a direct, elementary proof that the trace of the holonomy around a certain loop determines a Bott-Morse function on the moduli space which is perfect, meaning that the Morse inequalities are equalities. This leads to an attractive recursion for the Betti numbers of the moduli space, which agrees with the Harder-Narasimhan formula in the case of one puncture with holonomy -1.
dc.description15 pages; LaTeX2e with package amsfonts
dc.identifierhttps://arxiv.org/abs/math/9812002
dc.identifierhttp://arxiv.org/abs/math/9812002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77783
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subject58E05
dc.titleA perfect Morse function on the moduli space of flat connections
dc.typetext

Files

Collections

arXiv