147 citations · 398 across the 23 of their papers we have counts for
25 papers
The Loopy Polynomial: from Tutte's Universal -Function to Bizonotopal Geometry
Anatol Kirillov, Gleb Nenashev, Boris Shapiro +1
We study the loopy polynomial L_G, a multivariate graph invariant arising from bizonotopal graph algebras and defined by a deletion-loopy-contraction recursion, in which the contra…
Almost inner derivations of Lie superalgebras
Vera Serganova, Arkady Vaintrob
An almost inner derivation of a Lie algebra is a derivation that coincides with an inner derivation on each one-dimensional subspace of . The almost inner derivations form a…
Bizonotopal Graphical Algebras
Anatol Kirillov, Gleb Nenashev, Boris Shapiro +1
Zonotopal algebras (external, central, and internal) of an undirected graph G introduced by Postnikov-Shapiro and Holtz-Ron, are finite-dimensional commutative graded algebras whos…
Deformed graphical zonotopal algebras
Boris Shapiro, Ilya Smirnov, Arkady Vaintrob
We study certain filtered deformations of the external zonotopal algebra of a given graph parametrized by univariate polynomials. We establish some general properties of these alge…
Deformation theory of Cohomological Field Theories
Vladimir Dotsenko, Sergey Shadrin, Arkady Vaintrob +1
We develop the deformation theory of cohomological field theories (CohFTs), which is done as a special case of a general deformation theory of morphisms of modular operads. This le…
On algebras and matroids associated to undirected graphs
Boris Shapiro, Arkady Vaintrob
In this short note we make a few remarks on a class of generalized incidence matrices whose matroids do not depend on the orientation of the underlying graph and natural commutativ…