9 citations · 67 across the 40 of their papers we have counts for
31 papers · 1 filter
Bruhat operads II. Multiplicative structures
Gleb Koshevoy, Vadim Schechtman
The Bruhat operads from \cite{KS} are equipped with a structure of operads with multiplication.
On universal quadratic inequalities for minors of TNN matrices
Vladimir I. Danilov, Alexander V. Karzanov, Gleb A. Koshevoy
For positive integers , we give a combinatorial characterization for the set of quadratic inequalities on minors that are valid for all totally nonnegative matri…
Bruhat operads
Gleb Koshevoy, Vadim Schechtman, with Appendix by Daria Poliakova
We describe some planar operads built from the higher Bruhat orders and show that they admit a multiplication.
On Manin-Schechtman orders related to directed graphs
Vladimir I. Danilov, Alexander V. Karzanov, Gleb A. Koshevoy
As a generalization of weak Bruhat orders on permutations, in 1989 Manin and Schechtman introduced the notion of a higher Bruhat order on the -element subsets of a set $[n]=\{1,…
Stable sets of contracts in two-sided markets
Vladimir I. Danilov, Gleb A. Koshevoy
We revisit the problem of existence of stable systems of contracts with arbitrary sets of contracts. We show that stable sets of contracts exists if choices of agents satisfy path-…
Higher Bruhat orders of types B and C
Vladimir I. Danilov, Alexander V. Karzanov, Gleb A. Koshevoy
We propose versions of higher Bruhat orders for types and . This is based on a theory of higher Bruhat orders of type~A and their geometric interpretations (due to Manin--Sh…