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

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

2004-04-29

arxiv.org/abs/math/0404537v2

Geom. Topol. 9(2005) 1977-2012

Mathematics

Symplectic Geometry

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper45.abs.html

Scientific paper

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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