Tom CoatesImperial College LondonAlexander GiventalUC BerkeleyHsian-Hua TsengOhio State University
mathscidoc:1608.01007
We show that the Virasoro conjecture in Gromov–Witten theory holds for the the total space of a toric bundle E → B if and only if it holds for the base B. The main steps are: (i) we establish a localization formula that expresses Gromov–Witten invariants of E, equivariant with respect to the fiberwise torus action, in terms of genus-zero invariants of the toric fiber and all-genus invariants of B; and (ii) we pass to the non- equivariant limit in this formula, using Brown’s mirror theorem for toric bundles.
@inproceedings{tomvirasoro,
title={Virasoro constraints for toric bundles},
author={Tom Coates, Alexander Givental, and Hsian-Hua Tseng},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160820105417254512315},
}
Tom Coates, Alexander Givental, and Hsian-Hua Tseng. Virasoro constraints for toric bundles. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160820105417254512315.