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

DOI:
https://doi.org/10.1090/S0002-9947-2012-05635-2

Published electronically:
August 24, 2012

MathSciNet review:
2984064

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Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9947-2012-05635-2

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