Virasoro constraints for toric bundles

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Title: Virasoro constraints for toric bundles
Authors: Coates, T
Givental, A
Tseng, H-H
Item Type: Working Paper
Abstract: We show that the Virasoro conjecture in Gromov--Witten theory holds for the the total space of a toric bundle $E to B$ 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 Browns mirror theorem for toric bundles.
Copyright Statement: © 2015 The Authors
Sponsor/Funder: The Royal Society
Commission of the European Communities
The Leverhulme Trust
The Royal Society
Funder's Grant Number: 516002.K5822/kk
Keywords: Algebraic geometry
14N35 (Primary), 17B68, 83E30 (Secondary)
Notes: 24 pages
Appears in Collections:Pure Mathematics
Faculty of Natural Sciences

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