Defining an SU(3)-Casson/U(2)-Seiberg-Witten integer invariant for integral homology 3-spheres

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dc.creatorLim, Yuhan
dc.date2004-11-01
dc.date.accessioned2026-07-07T05:13:51Z
dc.date.available2026-07-07T05:13:51Z
dc.descriptionThe SU(3)-Casson invariant for integral homology 3-spheres as studied by Boden-Herald possesses a 'spectral flow obstruction' to being an integer valued invariant which depends only on the non-degenerate (perturbed) moduli space of flat SU(3)-connections. This obstruction is the non-trivial spectral flow of a family of twisted signature operators in 3-dimensions. The parallel U(2)-Seiberg-Witten construction also has an obstruction but from the non-trivial spectral flow of a family of twisted Dirac operators. By taking the SU(3)-flat and U(2)-Seiberg-Witten equations simultaneously the obstructions can be made to cancel and an integer invariant is obtained.
dc.description51pp
dc.identifierhttps://arxiv.org/abs/math/0411024
dc.identifierhttp://arxiv.org/abs/math/0411024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73066
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.subject57R57
dc.titleDefining an SU(3)-Casson/U(2)-Seiberg-Witten integer invariant for integral homology 3-spheres
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