Title

AN OBSTRUCTION BUNDLE RELATING GROMOV-WITTEN INVARIANTS OF CURVES AND KAHLER SURFACES

Authors

Authors

J. Lee;T. H. Parker

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Am. J. Math.

Keywords

THEOREM; CYCLES; Mathematics

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 Kahler 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.

Journal Title

American Journal of Mathematics

Volume

134

Issue/Number

2

Publication Date

1-1-2012

Document Type

Article

Language

English

First Page

453

Last Page

506

WOS Identifier

WOS:000320009900005

ISSN

0002-9327

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