147 citations · 354 across the 51 of their papers we have counts for
59 papers
Homotopy chiral algebras
Fyodor Malikov, Vadim Schechtman
We define a notion of a homotopy chiral algebra (HCA), which means a chiral algebra up to higher homotopies, and prove that the Cech complex of a sheaf of chiral algebras admits a…
Chiral Cartan calculus
Fyodor Malikov, Vadim Schechtman, Boris Tsygan
We study the Gauss-Manin connection on the chiral de Rham complex.
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…
De Rham - Witt KZ equations
Vadim Schechtman, Alexander Varchenko
We propose a de Rham - Witt version of the derived Knizhnik-Zamolodchikov equations, and of their hypergeometric realizations. We also propose de Rham - Witt versions of some class…
A Review of Multilingualism in and for Ontologies
Frances Gillis-Webber, C. Maria Keet
The Multilingual Semantic Web has been in focus for over a decade. Multilingualism in Linked Data and RDF has shown substantial adoption, but this is unclear for ontologies since t…
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…