Results 31 to 40 of about 3,600 (65)

Valuative invariants for large classes of matroids

open access: yesJournal of the London Mathematical Society, Volume 110, Issue 3, September 2024.
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

open access: yesJournal of Topology, Volume 17, Issue 1, March 2024.
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]

open access: yes, 2013
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

open access: yes, 1997
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

open access: yes, 1998
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]

open access: yesDiscrete Comput Geom, 2023
Filakovský M, Vokřínek L.
europepmc   +1 more source

Triangulated surfaces in triangulated categories

open access: yes, 2013
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]

open access: yesProc Natl Acad Sci U S A, 1968
Gitler S, Mahowald M, Milgram RJ.
europepmc   +1 more source

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