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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(online) ISSN 0894-0347(print)

 

Invariance of tautological equations II: Gromov-Witten theory


Author: Y.-P. Lee; with Appendix A by Y. Iwao; Y.-P. Lee
Journal: J. Amer. Math. Soc. 22 (2009), 331-352
MSC (2000): Primary 14N35, 14H10
Published electronically: September 24, 2008
MathSciNet review: 2476776
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Abstract: The aim of Part II is to explore the technique of invariance of tautological equations in the realm of Gromov-Witten theory. The relationship between Gromov-Witten theory and the tautological rings of the moduli of curves is studied from Givental's point of view via deformation theory of semisimple axiomatic Gromov-Witten theory.


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Additional Information

Y.-P. Lee
Affiliation: Department of Mathematics, University of Utah, Salt Lake City, Utah 84112-0090
Email: yplee@math.utah.edu

Y. Iwao
Affiliation: Department of Mathematics, University of Utah, Salt Lake City, Utah 84112-0090
Email: yshr19@gmail.com

DOI: http://dx.doi.org/10.1090/S0894-0347-08-00616-4
PII: S 0894-0347(08)00616-4
Keywords: Gromov--Witten theory, moduli of curves
Received by editor(s): May 30, 2006
Published electronically: September 24, 2008
Additional Notes: This research was partially supported by NSF and an AMS Centennial Fellowship
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.