Yau–Zaslow formula on K3 surfaces for non-primitive classes

Lee, Junho¹ ; Leung, Naichung Conan²

¹ Department of Mathematical Sciences, Seoul National University San56-1, Shinrim-dong Kwanak-gu, Seoul 151-747, Korea
² Institute of Mathematical Sciences, The Chinese University of Hong Kong, Shatin, NT, Hong Kong

Geometry & topology, Tome 9 (2005) no. 4, pp. 1977-2012.

Résumé

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.

Détail

DOI : 10.2140/gt.2005.9.1977

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

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