A Wall-crossing Formula for the Signature of Symplectic Quotients

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dc.creatorMetzler, David S.
dc.date1998-09-06
dc.date.accessioned2026-07-07T05:25:54Z
dc.date.available2026-07-07T05:25:54Z
dc.descriptionWe use symplectic cobordism, and the localization result of Ginzburg, Guillemin, and Karshon, to find a wall-crossing formula for the signature of regular symplectic quotients of Hamiltonian torus actions. The formula is recursive, depending ultimately on fixed point data. In the case of a circle action, we obtain a formula for the signature of singular quotients as well. We also show how formulas for the Poincare polynomial and the Euler characteristic (equivalent to those of Kirwan) can be expressed in the same recursive manner.
dc.description26 pages, 7 figures. LaTeX 2e, using packages amsmath, xypic
dc.identifierhttps://arxiv.org/abs/math/9809030
dc.identifierhttp://arxiv.org/abs/math/9809030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77361
dc.subjectSymplectic Geometry
dc.subjectDifferential Geometry
dc.titleA Wall-crossing Formula for the Signature of Symplectic Quotients
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