38 citations · 80 across the 8 of their papers we have counts for
8 papers
On equivariant mirror symmetry for local P^2
Brian Forbes, Masao Jinzenji
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 mirror symmetry of curves: Yukawa couplings and genus 1
Brian Forbes, Masao Jinzenji
We continue our study of equivariant local mirror symmetry of curves, i.e. mirror symmetry for X_k=O(k)+O(-2-k) over P^1 with torus action (lambda_1,lambda_2) on the bundle. For th…
J functions, non-nef toric varieties and equivariant local mirror symmetry of curves
Brian Forbes, Masao Jinzenji
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 m…
Prepotentials for local mirror symmetry via Calabi-Yau fourfolds
Brian Forbes, Masao Jinzenji
In this paper, we first derive an intrinsic definition of classical triple intersection numbers of K_S, where S is a complex toric surface, and use this to compute the extended Pic…
Extending the Picard-Fuchs system of local mirror symmetry
Brian Forbes, Masao Jinzenji
We propose an extended set of differential operators for local mirror symmetry. If is Calabi-Yau such that , then we show that our operators fully describe mi…
Computations on B-model geometric transitions
Brian Forbes
We study geometric transitions on Calabi- Yau manifolds from the perspective of the model. Looking toward physically motivated predictions, it is shown that the traditional con…