7 citations · 8 across the 2 of their papers we have counts for
4 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…
Derived Hilbert schemes
I. Ciocan-Fontanine, M. Kapranov
We construct the derived version of the Hilbert scheme parametrizing subschemes in a given projective scheme X with given Hilbert polynomial h. This is a dg-manifold (smooth dg-sch…
Derived Quot schemes
I. Ciocan-Fontanine, M. Kapranov
Realizing a part of the Derived Deformation Theory program, we construct a "derived" analog of the Grothendieck's Quot scheme parametrizing subsheaves in a given coherent sheaf F o…