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

 

Sum formulas for local Gromov-Witten invariants of spin curves


Author: Junho Lee
Journal: Trans. Amer. Math. Soc. 365 (2013), 459-490
MSC (2010): Primary 53D45; Secondary 14N35
Published electronically: August 24, 2012
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Abstract: Holomorphic 2-forms on Kähler surfaces lead to ``local Gromov-Witten invariants'' of spin curves. This paper shows how to derive sum formulas for such local GW invariants from the sum formula for GW invariants of certain ruled surfaces. These sum formulas also verify the Maulik-Pandharipande formulas that were recently proved by Kiem and Li.


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Additional Information

Junho Lee
Affiliation: Department of Mathematics, University of Central Florida, Orlando, Florida 32816
Email: junlee@mail.ucf.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-2012-05635-2
PII: S 0002-9947(2012)05635-2
Received by editor(s): May 26, 2009
Received by editor(s) in revised form: January 7, 2010, September 28, 2010, and May 9, 2011
Published electronically: August 24, 2012
Article copyright: © Copyright 2012 American Mathematical Society