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math.AG2021★ 3 cited
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-…
hep-th2021
Moment map and matrix integrals
Vadim Schechtman
We discuss the geometry behind some integrals related to structure constants of the Liouville conformal field theory.
math.CT2021
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…
math.AG2021
Moufang loops and toric surfaces
Vadim Schechtman
The toric surfaces for octonions and related objects are discussed.