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arXiv · 1401.2217

Cyclic Hodge Integrals and Loop Schur Functions

Dustin Ross·Zhengyu Zong
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Abstract

We conjecture an evaluation of three-partition cyclic Hodge integrals in terms of loop Schur functions. Our formula implies the orbifold Gromov-Witten/Donaldson-Thomas correspondence for toric Calabi-Yau threefolds with transverse type A singularities. We prove the formula in the case where one of the partitions is empty, and thus establish the orbifold Gromov- Witten/Donaldson-Thomas correspondence for local toric surfaces with transverse type A singularities.

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Dustin Ross, Zhengyu Zong. 2014-01-10. Cyclic Hodge Integrals and Loop Schur Functions. https://arxiv.org/abs/1401.2217

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