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2005 Yau–Zaslow formula on K3 surfaces for non-primitive classes
Junho Lee, Naichung Conan Leung
Geom. Topol. 9(4): 1977-2012 (2005). DOI: 10.2140/gt.2005.9.1977

Abstract

We compute the genus zero family Gromov–Witten invariants for K3 surfaces using the topological recursion formula and the symplectic sum formula for a degeneration of elliptic K3 surfaces. In particular we verify the Yau–Zaslow formula for non-primitive classes of index two.

Citation

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Junho Lee. Naichung Conan Leung. "Yau–Zaslow formula on K3 surfaces for non-primitive classes." Geom. Topol. 9 (4) 1977 - 2012, 2005. https://doi.org/10.2140/gt.2005.9.1977

Information

Received: 6 May 2004; Revised: 16 October 2005; Accepted: 24 April 2005; Published: 2005
First available in Project Euclid: 20 December 2017

zbMATH: 1088.53059
MathSciNet: MR2175162
Digital Object Identifier: 10.2140/gt.2005.9.1977

Subjects:
Primary: 14N35 , 53D45
Secondary: 14N10 , 53D05

Keywords: family Gromov–Witten invariants , K3 surface , symplectic sum formula , topological recursion relation , Yau–Zaslow formula

Rights: Copyright © 2005 Mathematical Sciences Publishers

Vol.9 • No. 4 • 2005
MSP
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