Science China Mathematics

, 54:1679

Low degree GW invariants of surfaces II

Articles

DOI: 10.1007/s11425-011-4258-x

Cite this article as:
Kiem, YH. & Li, J. Sci. China Math. (2011) 54: 1679. doi:10.1007/s11425-011-4258-x
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Abstract

We prove a conjectural formula of Maulik-Pandharipande on the degree one and two GW invariants of a surface with a smooth canonical divisor. We use the method of degeneration and the localized GW invariants introduced by the authors.

Keywords

Gromov-Witten invariant cosection degeneration formula localized virtual cycle 

MSC(2000)

14N35 14C17 14D06 

Copyright information

© Science China Press and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Department of Mathematics and Research Institute of MathematicsSeoul National UniversitySeoulKorea
  2. 2.Department of MathematicsStanford UniversityStanfordUSA

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