J functions, non-nef toric varieties and equivariant local mirror symmetry of curves

Abstract

We develop techniques for computing the equivariant local mirror symmetry of curves, i.e. mirror symmetry for O(k)+O(-2-k) over P^1 for k greater than 0. We also describe related methods for dealing with mirror symmetry of non-nef toric varieties. The basic tools are equivariant I functions and their Birkhoff factorization.

31 pages, no figures, minor errors in Section 2 and Section 3 are corrected

References in corpus (1)

• Central charges, symplectic forms, and hypergeometric series in local mirror symmetry

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