04/11/2005, 12:00 — 13:00 — Amphitheatre Pa3, Mathematics Building Emanuel Scheidegger, Institute for Theoretical Physics, TU Vienna
Topological String on K3 Fibrations
We explain that certain Gopakumar-Vafa
invariants (and, conjecturally, hence Gromow-Witten invariants) for
Calabi-Yau manifolds that admit a K3 fibration can be collected in
a generating function. This function is in general an automorphic
form determined by the fibration. In the class of K3 fibrations in
toric varieties in which the Picard lattice of the fiber has rank
one, we show how this automorphic form can be determined from the
topology of the fibration.
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