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arXiv · 1302.3472

A natural Gromov-Witten virtual fundamental class

Eleny-Nicoleta Ionel·Thomas H. Parker
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Abstract

We describe a program for proving that the Gromov-Witten moduli spaces of compact symplectic manifolds carry a unique virtual fundamental class that satisfies certain naturality conditions. The virtual fundamental class is constructed using only Ruan-Tian perturbations by introducing stabilizing divisors, using Cech homology, and systematically applying naturality conditions. In high dimensions or low genus, no gluing theorems are needed.

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Eleny-Nicoleta Ionel, Thomas H. Parker. 2013-02-14. A natural Gromov-Witten virtual fundamental class. https://arxiv.org/abs/1302.3472

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