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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
DOI: https://doi.org/10.1090/S0894-0347-08-00616-4
Published electronically: September 24, 2008
MathSciNet review: 2476776
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Abstract | References | Similar Articles | Additional Information

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
MR Author ID: 618293
Email: yplee@math.utah.edu

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

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.