Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Quantum cohomology and $ S^1$-actions with isolated fixed points

Author: Eduardo Gonzalez
Journal: Trans. Amer. Math. Soc. 358 (2006), 2927-2948
MSC (2000): Primary 53D05, 53D45
Published electronically: March 1, 2006
MathSciNet review: 2216253
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 $ \mathbb{P}^1$. This generalizes a result due to Tolman and Weitsman.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 53D05, 53D45

Retrieve articles in all journals with MSC (2000): 53D05, 53D45

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

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
Published electronically: 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 28 years after publication.

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia