Genus-2 Gromov-Witten invariants for manifolds with semisimple quantum cohomology
Xiaobo Liu
TL;DR
This paper derives a simple formula for genus-2 Gromov-Witten invariants in manifolds with semisimple quantum cohomology and proves the genus-2 Virasoro conjecture for these manifolds.
Contribution
It provides a new explicit formula for genus-2 invariants and confirms the Virasoro conjecture in this setting.
Findings
Derived a simple formula for genus-2 Gromov-Witten invariants
Proved the genus-2 Virasoro conjecture for manifolds with semisimple quantum cohomology
Enhanced understanding of the structure of Gromov-Witten invariants
Abstract
In this paper, we give a simple formula for the generating function of genus-2 Gromov-Witten invariants for manifolds with semisimple quantum cohomology, and use this formula to prove the genus-2 Virasoro conjecture for such manifolds.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Geometric and Algebraic Topology · Algebraic Geometry and Number Theory