Abstract

In a previous paper the authors defined symplectic ``Local Gromov-Witten invariants'' associated to spin curves and showed that the GW invariants of a K\"ahler surface $X$ with $p_g>0$ are a sum of such local GW invariants. This paper describes how the local GW invariants arise from an obstruction bundle (in the sense of Taubes) over the space of stable maps into curves. Together with the results of our earlier paper, this reduces the calculation of the GW invariants of elliptic and general-type complex surfaces to computations in the GW theory of curves with additional classes: the Euler classes of the (real) obstruction bundles.

pdf

Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 453-506
Launched on MUSE
2012-03-30
Open Access
No
Back To Top

This website uses cookies to ensure you get the best experience on our website. Without cookies your experience may not be seamless.