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arXiv · 1206.5390

An algebraic proof of the hyperplane property of the genus one GW-invariants of quintics

Huai-liang. Chang·Jun Li
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Abstract

Li-Zinger's hyperplane theorem states that the genus one GW-invariants of the quintic threefold is the sum of its reduced genus one GW-invariants and 1/12 multiplies of its genus zero GW-invariants. We apply the Guffin-Sharpe-Witten's theory (GSW theory) to give an algebro-geometric proof of the hyperplane theorem, including separation of contributions and computation of 1/12.

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Huai-liang. Chang, Jun Li. 2012-06-23. An algebraic proof of the hyperplane property of the genus one GW-invariants of quintics. https://arxiv.org/abs/1206.5390

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