On equivariant mirror symmetry for local P^2

Abstract

We solve the problem of equivariant mirror symmetry for O(-3)->P^2 for the (three) cases of one independent equivariant parameter. This gives a decomposition of mirror symmetry for local P^2 into that of three subspaces, each of which may be considered independently. Finally, we give a new interpretation of mirror symmetry for O(k)+O(-2-k)->P^1.

26 pages, 4 figures. v2: minor correction in section 4

References in corpus (4)

• Open string amplitudes and large order behavior in topological string theory
• Phase transitions, double-scaling limit, and topological strings
• J functions, non-nef toric varieties and equivariant local mirror symmetry of curves
• Local mirror symmetry of curves: Yukawa couplings and genus 1

Cited by in corpus (1)

• Local B-model Yukawa couplings from A-twisted correlators