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We propose Gamma conjectures for Fano manifolds which can be thought of as a square
root of the index theorem. Studying the exponential asymptotics of solutions to the quantum …

Quantum field theory L_1 L 1 on spacetime X_ 1 X 1 can be coupled to another quantum
field theory L_2 L 2 on a spacetime X_ 2 X 2 via the third quantum field theory L_ 12 L 12 …

This review of the theory of toric Landau–Ginzburg models describes an effective approach
to mirror symmetry for Fano varieties. It focuses mainly on the cases of dimensions $2 $ and …

For a semi-simple simply connected algebraic group G we introduce certain parabolic
analogues of the Nekrasov partition function (introduced by Nekrasov and studied recently …

In this paper we propose a systematic construction of mirrors of nonabelian two dimensional
(2, 2) supersymmetric gauge theories. Specifically, we propose a construction of B-twisted …

A bstract We study a correspondence between 3d\(\mathcal {N}\)= 2 topologically twisted
Chern-Simons-matter theories on S 1× Σg and quantum K-theory of Grassmannians. Our …

We propose an approach via Frobenius manifolds to the study (began in [BCK2] of the
relation between rational Gromov–Witten invariants of nonabelian quotients X//G and those …

In this paper we identify the problem of equivariant vortex counting in a (2, 2)
supersymmetric two dimensional quiver gauged linear sigma model with that of computing …

In this paper we outline some aspects of nonabelian gauged linear sigma models. First, we
review how partial flag manifolds (generalizing Grassmannians) are described physically by …