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Quantum cohomology and  -actions with isolated fixed points
Author(s):
Eduardo
Gonzalez
Journal:
Trans. Amer. Math. Soc.
358
(2006),
2927-2948.
MSC (2000):
Primary 53D05, 53D45
Posted:
March 1, 2006
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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:
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
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
Forward Citation(s): Information for authors on submitting citations The following works have cited this article Guangcun Lu, Symplectic capacities of toric manifolds and related results, http://arxiv.org/abs/math/0312483, posted on 05/03/2006 (electronic).
Dusa McDuff and Susan Tolman, Topological Properties of Hamiltonian Circle Actions, International Mathematics Research Papers Volume 2006 (2006), 1–77 .
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