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arXiv · 0812.2542

Reduced genus-two Gromov-Witten Invariants for complex manifolds

Wei Wang
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Abstract

In this article, we construct the reduced genus-two Gromov-Witten invariants for certain almost Kähler manifold $(X, ω, J)$ such that $J$ is integrable and satisfies some regularity conditions. In particular, the standard projective space $(¶^n, ω_0, J_0)$ of dimension $n \le 7$ satisfies these conditions. This invariant counts the number of simple genus-two $J$-holomorphic curves that satisfy appropriate number of constraints.

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Wei Wang. 2009-03-05. Reduced genus-two Gromov-Witten Invariants for complex manifolds. https://arxiv.org/abs/0812.2542

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