Counting Elliptic Curves in K3 Surfaces

Details Counting Elliptic Curves in K3 Surfaces Counting Elliptic Curves in K3 Surfaces

2004-05-03

arxiv.org/abs/math/0405041v1

Mathematics

Symplectic Geometry

9 pages

Scientific paper

We compute the genus one family Gromov-Witten invariants of K3 surfaces for
non-primitive classes. These calculations verify Gottsche-Yau-Zaslow formula
for non-primitive classes with index two. Our approach is to use the genus two
topological recursion formula and the symplectic sum formula to establish
relationships among various generating functions.

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