Cyclic Hodge Integrals and Loop Schur Functions
Algebraic Geometry
2014-01-13 v1 Mathematical Physics
Combinatorics
math.MP
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.
Cite
@article{arxiv.1401.2217,
title = {Cyclic Hodge Integrals and Loop Schur Functions},
author = {Dustin Ross and Zhengyu Zong},
journal= {arXiv preprint arXiv:1401.2217},
year = {2014}
}
Comments
29 pages, 2 figures