Results 51 to 60 of about 59,724 (184)

The absolute order on the hyperoctahedral group [PDF]

Discrete Mathematics & Theoretical Computer Science, 2009
The absolute order on the hyperoctahedral group $B_n$ is investigated. It is shown that every closed interval in this order is shellable, those closed intervals which are lattices are characterized and their zeta polynomials are computed. Moreover, using
Myrto Kallipoliti
doaj   +1 more source

A homotopy exact sequence for overconvergent isocrystals

Forum of Mathematics, Sigma, 2021
In this article we prove exactness of the homotopy sequence of overconvergent fundamental groups for a smooth and projective morphism in characteristic p. We do so by first proving a corresponding result for rigid analytic varieties in characteristic $0$,
Christopher Lazda, Ambrus Pál
doaj   +1 more source

Morita homotopy theory of C*-categories

, 2011
In this article we establish the foundations of the Morita homotopy theory of C*-categories. Concretely, we construct a cofibrantly generated simplicial symmetric monoidal Quillen model structure M_Mor on the category C*cat1 of small unital C*-categories.
Beer, Blackadar, Blecher, Brown, Davis, DellʼAmbrogio, Doplicher, Doplicher, Dwyer, Ghez, Gonçalo Tabuada, Hirschhorn, Hovey, Ivo DellʼAmbrogio, Joachim, Kandelaki, Kandelaki, Kandelaki, Kandelaki, Karoubi, Karoubi, Kelly, Lance, Loring, Loring, Mac Lane, Mitchener, Mitchener, Mitchener, Mitchener, Raeburn, Rieffel, Rieffel, Rørdam, Thomason, Vasselli, Vasselli, Zito   +37 more
core   +2 more sources

Monopoles, Clarified

Fortschritte der Physik, Volume 74, Issue 3, March 2026.
ABSTRACT We propose a manifestly duality‐invariant, Lorentz‐invariant, and local action to describe quantum electrodynamics in the presence of magnetic monopoles that derives from Sen's formalism. By employing field strengths as the dynamical variables, rather than potentials, this formalism resolves longstanding ambiguities in prior frameworks.
Aviral Aggarwal, Subhroneel Chakrabarti, Madhusudhan Raman   +2 more
wiley   +1 more source

A higher-dimensional categorical perspective on 2-crossed modules

Demonstratio Mathematica
In this study, we will express the 2-crossed module of groups from a higher-dimensional categorical perspective. According to simplicial homotopy theory, a 2-crossed module is the Moore complex of a 2-truncated simplicial group.
Özel Emre, Arslan Ummahan Ege, İlker Akça İbrahim   +2 more
doaj   +1 more source

Bordism groups of solutions to differential relations

, 2009
In terms of category theory, the Gromov homotopy principle for a set valued functor $F$ asserts that the functor $F$ can be induced from a homotopy functor. Similarly, we say that the bordism principle for an abelian group valued functor $F$ holds if the
Ando, Ando, Boardman, du Plessis, Eliashberg, Eliashberg, Eliashberg, Eliashberg, Eliashberg, Eliashberg, Fehér, Fuks, Gromov, Gromov, Gromov, Ikegami, Kazarian, Kochman, Koschorke, Mishachev, Rudyak, Rustam Sadykov, Saeki, Spring, Stong, Switzer, Szűcs   +26 more
core   +1 more source

The homotopy groups of a homotopy group completion [PDF]

Israel Journal of Mathematics, 2019
40 pages. The results in this paper replace Section 2-4 of arXiv:1607.06430. v2: Various small corrections and clarifications. Accepted for publication in Israel J. Math. (v2 contains two appendices that will not appear in the journal version)
openaire   +2 more sources

Quasi‐Fuchsian flows and the coupled vortex equations

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract We provide an alternative construction of the quasi‐Fuchsian flows introduced by Ghys. Our approach is based on the coupled vortex equations that allows to see these flows as thermostats on the unit tangent bundle of the Blaschke metric, uniquely determined by a conformal class and a holomorphic quadratic differential.
Mihajlo Cekić, Gabriel P. Paternain
wiley   +1 more source

Integrability Properties of the Slepyan–Palmov Model Arising in the Slepyan–Palmov Medium

Mathematics, 2023
This study investigates the Slepyan–Palmov (SP) model, which describes plane longitudinal waves propagating within a medium comprising a carrier medium and nonlinear oscillators.
Muhammad Usman, Akhtar Hussain, F. D. Zaman, Asier Ibeas, Yahya Almalki   +4 more
doaj   +1 more source

The systole of random hyperbolic 3‐manifolds

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We study the systole of a model of random hyperbolic 3‐manifolds introduced in Petri and Raimbault [Comment. Math. Helv. 97 (2022), no. 4, 729–768], answering a question posed in that same article. These are compact manifolds with boundary constructed by randomly gluing truncated tetrahedra along their faces.
Anna Roig‐Sanchis
wiley   +1 more source