Title
AN OBSTRUCTION BUNDLE RELATING GROMOV-WITTEN INVARIANTS OF CURVES AND KAHLER SURFACES
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
ISSN
0002-9327
Recommended Citation
"AN OBSTRUCTION BUNDLE RELATING GROMOV-WITTEN INVARIANTS OF CURVES AND KAHLER SURFACES" (2012). Faculty Bibliography 2010s. 2919.
https://stars.library.ucf.edu/facultybib2010/2919
Comments
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