Extracting Gromov-Witten invariants of a conifold from semi-stable reduction and relative GW invariants of pairs

Details Extracting Gromov-Witten invariants of a conifold from semi-stable reduction and relative GW invariants of pairs Extracting Gromov-Witten invariants of a conifold from semi-stable reduction and relative GW invariants of pairs

2004-11-02

arxiv.org/abs/math/0411038v2

Mathematics

Algebraic Geometry

16 pages, 2 figure. Revisions are made to the stringy background in Introduction ([A-M-V], [D-F-G]) and to the discussion resp

Scientific paper

The study of open/closed string duality and large $N$ duality suggests a Gromov-Witten theory for conifolds that sits on the border of both a closed Gromov-Witten theory and an open Gromov-Witten theory. In this work we employ the result of Jun Li on Gromov-Witten theory for a projective singular variety of the gluing form $Y_1\cup_D Y_2$ to extract Gromov-Witten invariants of a conifold.

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