144 citations · 687 across the 51 of their papers we have counts for
61 papers
The Langlands formula and perverse sheaves
Mikhail Kapranov, Vadim Schechtman, Olivier Schiffmann +1
For a complex reductive Lie algebra with Cartan subalgebra and Weyl group we consider the category of per…
N-spherical functors and categorification of Euler's continuants
Tobias Dyckerhoff, Mikhail Kapranov, Vadim Schechtman
Euler's continuants are universal polynomials expressing the numerator and denominator of a finite continued fraction whose entries are independent variables. We introduce their ca…
PROBs and perverse sheaves II. Ran spaces and 0-cycles with coefficients
Mikhail Kapranov, Vadim Schechtman
We consider the space Z(C,L) of 0-cycles on the complex line C with coefficients in a commutative monoid L subject to certain conditions. Such spaces include the symmetric products…
Spherical adjunctions of stable -categories and the relative S-construction
Tobias Dyckerhoff, Mikhail Kapranov, Vadim Schechtman +1
We develop the theory of semi-orthogonal decompositions and spherical functors in the framework of stable -categories. Building on this, we study the relative Waldhausen S-…
PROBs and perverse sheaves I. Symmetric products
Mikhail Kapranov, Vadim Schechtman
Algebraic structures involving both multiplications and comultiplications (such as, e.g., bialgebras or Hopf algebras) can be encoded using PROPs (categories with PROducts and Perm…
Conformal maps in higher dimensions and derived geometry
Mikhail Kapranov
By Liouville's theorem, in dimensions 3 or more conformal transformations form a finite-dimensional group, an apparent drastic departure from the 2-dimensional case. We propose a d…