Results 71 to 80 of about 8,246 (157)

Topological K‐theory of quasi‐BPS categories for Higgs bundles

open access: yesJournal of Topology, Volume 18, Issue 4, December 2025.
Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley   +1 more source

Morita Duality and Noncommutative Wilson Loops in Two Dimensions

open access: yes, 2005
We describe a combinatorial approach to the analysis of the shape and orientation dependence of Wilson loop observables on two-dimensional noncommutative tori.
A. Bassetto   +26 more
core   +3 more sources

Algebraic combinatorial optimization on the degree of determinants of noncommutative symbolic matrices

open access: yesMathematical Programming
Abstract We address the computation of the degrees of minors of a noncommutative symbolic matrix of form $$ A[c] :=\sum _{k=1}^m A_k t^{c_k} x_k, $$ A [ c ]
Hiroshi Hirai   +3 more
openaire   +2 more sources

Noncommutative Bell polynomials, quasideterminants and incidence Hopf algebras

open access: yes, 2014
Bell polynomials appear in several combinatorial constructions throughout mathematics. Perhaps most naturally in the combinatorics of set partitions, but also when studying compositions of diffeomorphisms on vector spaces and manifolds, and in the study ...
Ebrahimi-Fard, Kurusch   +2 more
core   +3 more sources

Dynamics of O(N) Model in a Strong Magnetic Background Field as a Modified Noncommutative Field Theory

open access: yes, 2006
In the presence of a strong magnetic field, the effective action of a composite scalar field in an scalar O(N) model is derived using two different methods.
A. Connes   +4 more
core   +1 more source

Matrix Whittaker processes. [PDF]

open access: yesProbab Theory Relat Fields, 2023
Arista J, Bisi E, O'Connell N.
europepmc   +1 more source

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