Extracting Gromov-Witten invariants of a conifold from semi-stable reduction and relative GW invariants of pairs
Abstract
Description
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.
16 pages, 2 figure. Revisions are made to the stringy background in Introduction ([A-M-V], [D-F-G]) and to the discussion respectively before Lemma 1.4 ([Vi]), after Definition 3.1, and in Remark 3.6 (Figure 3-1 and [At], [B-P], [E-G-H], [Wi3]). Typos found are corrected; no major changes
16 pages, 2 figure. Revisions are made to the stringy background in Introduction ([A-M-V], [D-F-G]) and to the discussion respectively before Lemma 1.4 ([Vi]), after Definition 3.1, and in Remark 3.6 (Figure 3-1 and [At], [B-P], [E-G-H], [Wi3]). Typos found are corrected; no major changes