Geometry & Topology 9 (2005) 1977–2012

DOI: 10.2140/gt.2005.9.1977

arXiv: math.SG/0404537

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.

Keywords

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

Mathematical Subject Classification

Primary: 14N35, 53D45

Secondary: 14N10, 53D05

References

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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

Authors