The cohomology rings of abelian symplectic quotients

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Let $M$ be a symplectic manifold, equipped with a Hamiltonian action of a torus $T$. We give an explicit formula for the rational cohomology ring of the symplectic quotient $M//T$ in terms of the cohomology ring of $M$ and fixed point data. Under some restrictions, our formulas apply to integral cohomology. In certain cases these methods enable us to show that the cohomology of the reduced space is torsion-free.

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Differential Geometry, Algebraic Geometry, Symplectic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/77228

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9807173
 http://arxiv.org/abs/math/9807173
 The cohomology rings of symplectic quotients. Communications in Analysis and Geometry 11, 751-774 (2003) (Includes the case of quotients by nonabelian groups)

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arXiv