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arXiv · 1904.09426

Unfolding of Orbifold LG B-Models: A Case Study

Weiqiang He·Si Li·Yifan Li
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Abstract

In this note we explore the variation of Hodge structures associated to the orbifold Landau-Ginzburg B-model whose superpotential has two variables. We extend the Getzler-Gauss-Manin connection to Hochschild chains twisted by group action. As an application, we provide explicit computations for the Getzler-Gauss-Manin connection on the universal (noncommutative) unfolding of $\mathbb{Z}_2$-orbifolding of A-type singularities. The result verifies an example of deformed version of Mckay correspondence.

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Weiqiang He, Si Li, Yifan Li. 2019-04-20. Unfolding of Orbifold LG B-Models: A Case Study. https://arxiv.org/abs/1904.09426

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