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Journal of the American Mathematical Society

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ISSN 1088-6834 (online) ISSN 0894-0347 (print)

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Invariance of tautological equations II: Gromov-Witten theory
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by Y.-P. Lee; with Appendix A by Y. Iwao; Y.-P. Lee
J. Amer. Math. Soc. 22 (2009), 331-352
DOI: https://doi.org/10.1090/S0894-0347-08-00616-4
Published electronically: September 24, 2008
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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.
References
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Bibliographic 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
  • 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
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • 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
  • MathSciNet review: 2476776