Bernd Siebert, University of Hamburg
Punctured Gromov-Witten invariants
In the talk I will discuss an extension of the concept of
logarithmic Gromov-Witten invariants including negative contact
orders. In the situation of a smooth variety with a smooth divisor,
this concepts counts curves inside the divisor with the restriction
of the normal bundle of the divisor to the curve of negative degree.
Applications are given to the construction of mirrors in very
general situations, to open Gromov-Witten invariants and to the Tate
curve. This is joint work partly with Dan Abramovich, Qile Chen and
Mark Gross and (for the Tate curve) with Hülya Argüz.