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Quantum cohomology and  -actions with isolated fixed points
Author:
Eduardo Gonzalez
Journal:
Trans. Amer. Math. Soc. 358 (2006), 2927-2948
MSC (2000):
Primary 53D05, 53D45
Posted:
March 1, 2006
MathSciNet review:
2216253
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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  -dimensional manifold of this type is isomorphic to the (small) quantum cohomology of a product of  copies of  . This generalizes a result due to Tolman and Weitsman.
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Additional Information
Eduardo Gonzalez
Affiliation:
Department of Mathematics, SUNY at Stony Brook, Stony Brook, New York 11777
Address at time of publication:
Department of Mathematics, Rutgers University, 110 Frelinghuysen Rd., Piscataway, New Jersey 08854
Email:
eduardo@math.sunysb.edu, eduardog@math.rutgers.edu
DOI:
http://dx.doi.org/10.1090/S0002-9947-06-04038-4
PII:
S 0002-9947(06)04038-4
Keywords:
Symplectic manifold,
Hamiltonian $S^{1}$ action,
quantum cohomology,
Seidel element
Received by editor(s):
April 2, 2004
Posted:
March 1, 2006
Additional Notes:
This work was partially supported by CONACyT-119141
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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