3 citations · 3 across the 4 of their papers we have counts for
4 papers
Landau singularities and convex geometry
Mikhail Kapranov
We revisit the classic 1959 paper of L. D. Landau on possible singularities of the integral associated to a Feynman graph. Focusing on the real setup, we relate it to convex geomet…
Supersymmetry, differential operators of infinite order and theta functions
Mikhail Kapranov
In 1972, M. Sato proposed an approach to proving modularity of forms like Thetanullwerte by characterizing them via certain differential operators of infinite order (DOI) in the mo…
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…
Double affine Hecke algebras and 2-dimensional local fields
M. Kapranov
We give an interpretation of the double affine Hecke algebra of Cherednik as the (suitably regularized) algebra of double cosets of a group G by a subgroup J, extending the well kn…