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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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arXiv: math.SG/0404537 |
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. |
Keywords
family Gromov–Witten invariants, Yau–Zaslow formula,
symplectic sum formula, topological recursion relation, K3
surface
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Mathematical Subject Classification 2000
Primary: 53D45, 14N35
Secondary: 53D05, 14N10
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References |
Forward citations |
Publication
Received: 6 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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Authors |
| Junho Lee | |
| Department of Mathematical
Sciences Seoul National University San56-1 Shinrim-dong Kwanak-gu Seoul 151-747 Korea |
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| Naichung Conan Leung | |
| Institute of Mathematical
Sciences The Chinese University of Hong Kong Shatin NT Hong Kong |
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