A Wall-crossing Formula for the Signature of Symplectic Quotients

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We 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.
26 pages, 7 figures. LaTeX 2e, using packages amsmath, xypic

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Symplectic Geometry, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/77361

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9809030
 http://arxiv.org/abs/math/9809030

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arXiv