## The local Gromov-Witten theory of curves (2008)

by
J. Bryan

Citations: | 12 - 3 self |

### BibTeX

@MISC{Bryan08thelocal,

author = {J. Bryan},

title = {The local Gromov-Witten theory of curves},

year = {2008}

}

### OpenURL

### Abstract

We study the equivariant Gromov-Witten theory of a rank 2 vector bundle N over a nonsingular curve X of genus g: (i) We define a TQFT using the Gromov-Witten partition functions. The full theory is determined in the TQFT formalism from a few exact calculations. We use a reconstruction result proven jointly with C. Faber and A. Okounkov in the appendix.