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G&T Monographs |
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Yau–Zaslow formula on K3 surfaces for non-primitive
classes
Junho Lee and Naichung Conan Leung
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Geometry & Topology 9 (2005)
1977–2012
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Abstract
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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.
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Keywords
family Gromov–Witten invariants,
Yau–Zaslow formula, symplectic sum formula, topological
recursion relation, K3 surface
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Mathematical Subject Classification
Primary: 14N35, 53D45
Secondary: 14N10, 53D05
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Publication
Received: 06 May 2004
Revised: 16 October 2005
Accepted: 24 April 2005
Published: 17 October 2005
Proposed: Ronald Stern
Seconded: Ronald Fintushel, Robion Kirby
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