Zobrazeno 1 - 10
of 161
pro vyhledávání: '"Schechtman, Vadim"'
For a complex reductive Lie algebra $\mathfrak{g}$ with Cartan subalgebra $\mathfrak{h}$ and Weyl group $W$ we consider the category $\text{Perv}(W \backslash \mathfrak{h})$ of perverse sheaves on $W \backslash \mathfrak{h}$ smooth w.r.t. the natural
Externí odkaz:
http://arxiv.org/abs/2412.01638
Autor:
Malikov, Fyodor, Schechtman, Vadim
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 structure of a HCA.
Comment: 21 pages
Comment: 21 pages
Externí odkaz:
http://arxiv.org/abs/2408.16787
We study the Gauss-Manin connection on the chiral de Rham complex.
Comment: 34 pages
Comment: 34 pages
Externí odkaz:
http://arxiv.org/abs/2312.01834
Euler's continuants are universal polynomials expressing the numerator and denominator of a finite continued fraction whose entries are independent variables. We introduce their categorical lifts which are natural complexes (more precisely, coherentl
Externí odkaz:
http://arxiv.org/abs/2306.13350
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 classical theorems related to arbitrary hyperplane arrangements.
Comme
Comme
Externí odkaz:
http://arxiv.org/abs/2212.03628
Autor:
Malikov, Fyodor, Schechtman, Vadim
We propose chiral analogues of some infinite complexes appearing in the description of the coherent derived categories for projective spaces.
Externí odkaz:
http://arxiv.org/abs/2210.02814
Autor:
Kapranov, Mikhail, Schechtman, Vadim
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 (for L=Z_+) and the Ran space (for L=T={ True, False} being the Boole
Externí odkaz:
http://arxiv.org/abs/2209.02400
We relate the Fourier transform of perverse sheaves smooth along the coordinate hyperplane configuration in a complex vector space to the Deligne-Lusztig duality of unipotent representations of a general linear group over a finite field. A similar re
Externí odkaz:
http://arxiv.org/abs/2206.00324
We develop the theory of semi-orthogonal decompositions and spherical functors in the framework of stable $\infty$-categories. Building on this, we study the relative Waldhausen S-construction $S_\bullet(F)$ of a spherical functor $F$ and equip it wi
Externí odkaz:
http://arxiv.org/abs/2106.02873
Autor:
Schechtman, Vadim
We discuss the geometry behind some integrals related to structure constants of the Liouville conformal field theory.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/2104.10951