Results 31 to 40 of about 3,600 (65)
Valuative invariants for large classes of matroids
Abstract We study an operation in matroid theory that allows one to transition a given matroid into another with more bases via relaxing a stressed subset. This framework provides a new combinatorial characterization of the class of (elementary) split matroids.
Luis Ferroni, Benjamin Schröter
wiley +1 more source
Some rational homology computations for diffeomorphisms of odd‐dimensional manifolds
Abstract We calculate the rational cohomology of the classifying space of the diffeomorphism group of the manifolds Ug,1n:=#g(Sn×Sn+1)∖int(D2n+1)$U_{g,1}^n:= \#^g(S^n \times S^{n+1})\setminus \mathrm{int}(D^{2n+1})$, for large g$g$ and n$n$, up to degree n−3$n-3$.
Johannes Ebert, Jens Reinhold
wiley +1 more source
Positively oriented matroids are realizable [PDF]
We prove da Silva's 1987 conjecture that any positively oriented matroid is a positroid; that is, it can be realized by a set of vectors in a real vector space.
Ardila, Federico +2 more
core
Extended Linial Hyperplane Arrangements for Root Systems and a Conjecture of Postnikov and Stanley
A hyperplane arrangement is said to satisfy the ``Riemann hypothesis'' if all roots of its characteristic polynomial have the same real part. This property was conjectured by Postnikov and Stanley for certain families of arrangements which are defined ...
Athanasiadis, Christos A.
core +1 more source
Mixed Bruhat operators and Yang-Baxter equations for Weyl groups
We introduce and study a family of operators which act in the span of a Weyl group $W$ and provide a multi-parameter solution to the quantum Yang-Baxter equations of the corresponding type.
Brenti, Francesco +2 more
core +4 more sources
Computing Homotopy Classes for Diagrams. [PDF]
Filakovský M, Vokřínek L.
europepmc +1 more source
Reproducing country-wide COVID-19 dynamics can require the usage of a set of SIR systems. [PDF]
Postnikov EB.
europepmc +1 more source
Triangulated surfaces in triangulated categories
For a triangulated category A with a 2-periodic dg-enhancement and a triangulated oriented marked surface S we introduce a dg-category F(S,A) parametrizing systems of exact triangles in A labelled by triangles of S.
Dyckerhoff, Tobias, Kapranov, Mikhail
core
The nonimmersion problem for rp and higher-order cohomology operations. [PDF]
Gitler S, Mahowald M, Milgram RJ.
europepmc +1 more source

