9 citations · 17 across the 3 of their papers we have counts for
5 papers
Gromov-Witten Invariants for Abelian and Nonabelian Quotients
Aaron Bertram, Ionut Ciocan-Fontanine, Bumsig Kim
We make precise conjectures relating the genus zero Gromov-Witten theory of a nonabelian GIT quotient X//G to that of the associated abelian quotient X//T by a maximal torus T in G…
Two Proofs of a Conjecture of Hori and Vafa
Aaron Bertram, Ionut Ciocan-Fontanine, Bumsig Kim
We give two proofs of a conjecture of Hori and Vafa which expresses the J-function (i.e, the generating function for 1-point descendant Gromov-Witten invariants) of a Grassmannian…
Equivariant mirrors and the Virasoro conjecture for flag manifolds
Dosang Joe, Bumsig Kim
We found an explicit description of all $GL(n,\RR)$-Whittaker functions as oscillatory integrals and thus constructed equivariant mirrors of flag manifolds. As a consequence we pro…
Quantum Hyperplane Section Principle for Concavex Decomposable Vector Bundles
Bumsig Kim
The quantum hyperplane section theorem is explained for nonnegative decomposable concavex bundle spaces over generalized flag manifolds.
Quantum Hyperplane Section Theorem For Homogeneous Spaces
Bumsig Kim
We formulated a mirror-free approach to the mirror conjecture, namely, quantum hyperplane section conjecture, and proved it in the case of nonnegative complete intersections in hom…