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Quantum Cohomology and $S^{1}-Actions$ with Isolated Fixed Points

Eduardo Gonzalez
Transactions of the American Mathematical Society
Vol. 358, No. 7 (Jul., 2006), pp. 2927-2948
Stable URL: http://www.jstor.org/stable/3845560
Page Count: 22
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Quantum Cohomology and $S^{1}-Actions$ with Isolated Fixed Points
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Abstract

This paper studies symplectic manifolds that admit semi-free circle actions with isolated fixed points. We prove, using results on the Seidel element, that the (small) quantum cohomology of a 2n-dimensional manifold of this type is isomorphic to the (small) quantum cohomology of a product of n copies of P1. This generalizes a result due to Tolman and Weitsman.

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