A topological method to compute spectral flow

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dc.creatorAuckly, Dave
dc.date1997-12-03
dc.date.accessioned2026-07-07T05:23:21Z
dc.date.available2026-07-07T05:23:21Z
dc.descriptionThis paper describes a topological method to compute the spectral flow of a family of twisted Dirac operators, it includes two detailed examples. Briefly, a formula of Atiyah, Patodi and Singer expresses the spectral flow in terms of Chern-Simons invariants and rho invariants. The first step is to construct a flat cobordism to a new bigger 3-manifold. The advantage of the new connection is that it is in the path component of a reducible connection. The second step is to calculate the effect of these operations on the invariants. The final step is an application of the G-signature theorem to compute the invariants.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/9712222
dc.identifierhttp://arxiv.org/abs/math/9712222
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76405
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.titleA topological method to compute spectral flow
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