Sum formulas for local Gromov-Witten invariants of spin curves
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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.References
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Additional Information
- Junho Lee
- Affiliation: Department of Mathematics, University of Central Florida, Orlando, Florida 32816
- Email: junlee@mail.ucf.edu
- 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
- © Copyright 2012 American Mathematical Society
- 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
- MathSciNet review: 2984064