136 citations · 348 across the 20 of their papers we have counts for
20 papers
Percolating sets and the operad of permutations
Denis Bashkirov
We give an operadic interpretation of the known result of L.Shapiro and A.B.Stephens that characterizes percolating permutation matrices. A relation of ideals and suboperads of the…
Planar rooted line arrangements and an operad for factorized scattering
Denis Bashkirov
We introduce two topological non- operad structures on planar line arrangements subject to a certain geometric order condition, ensuring a well-defined notion of particle orderi…
Lattice operads and operad filtrations
Denis Bashkirov
We elaborate on the notion of a filtration of an operad defined in terms of a lattice-valued operad serving as an indexing object. That covers ordinary integer-indexed filtrations…
Calculus of multilinear differential operators, operator -algebras and -algebras
Denis Bashkirov, Martin Markl
We propose an operadic framework suitable for describing algebraic structures with operations being multilinear differential operators of varying orders or, more generally, formal…
Einstein Equations, Cosmological Constant and all that
Denis Bashkirov
We suggest an interpretation of Einstein Equations of General Relativity at large scales in which the Cosmological constant is exactly zero in the limit of zero spacetime variation…
On homotopy Lie bialgebroids
Denis Bashkirov, Alexander A. Voronov
A well-known result of A. Vaintrob characterizes Lie algebroids and their morphisms in terms of homological vector fields on supermanifolds. We give an interpretation of Lie bialge…