Sum formulas for local Gromov-Witten invariants of spin curves

Lee, Junho

doi:10.1090/S0002-9947-2012-05635-2

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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
Posted: 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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