Results 131 to 140 of about 84,094 (237)

Principal Fiber Bundles in Non-commutative Geometry [PDF]

, 2017
50 pages, including table of contents and ...
openaire   +2 more sources

Thurston norm for coherent right‐angled Artin groups via L2$L^2$‐invariants

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new notion of splitting complexity for a group G$G$ along a non‐trivial integral character ϕ∈H1(G;Z)$\phi \in H^1(G; \mathbb {Z})$. If G$G$ is a one‐ended coherent right‐angled Artin group, we show that the splitting complexity along an epimorphism ϕ:G→Z$\phi \colon G \rightarrow \mathbb {Z}$ equals the L2$L^2$‐Euler characteristic
Monika Kudlinska
wiley   +1 more source

Twisted ambidexterity in equivariant homotopy theory

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We develop the concept of twisted ambidexterity in a parametrized presentably symmetric monoidal ∞$\infty$‐category, which generalizes the notion of ambidexterity by Hopkins and Lurie and the Wirthmüller isomorphisms in equivariant stable homotopy theory, and is closely related to Costenoble–Waner duality.
Bastiaan Cnossen
wiley   +1 more source

Non-commutative algebraic geometry of semi-graded rings

, 2017
In this paper, we introduce the semi-graded rings, which extend graded rings and skew Poincaré–Birkhoff–Witt (PBW) extensions. For this new type of non-commutative rings, we will discuss some basic problems of non-commutative algebraic geometry.
Oswaldo Lezama, Edward Latorre
core   +1 more source

On the UV/IR mixing of Lie algebra-type noncommutatitive ϕ 4-theories

Journal of High Energy Physics
We show that a UV divergence of the propagator integral implies the divergences of the UV/IR mixing in the two-point function at one-loop for a ϕ 4-theory on a generic Lie algebra-type noncommutative space-time.
Kilian Hersent
doaj   +1 more source

The Frölicher-Nijenhuis bracket in non commutative differential geometry

, 1993
There seems to be an emerging theory of non-commutative differential geometry. In the beginning the ideas of non-commutative geometry and of non-commutative topology were intended as tools for attacking problems in topology, in particular the Novikov ...
A. Kriegl, A. Cap, P. W. Michor
core  

Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry

, 2008
International audienceIn this article, we define a non-commutative deformation of the ''symplectic invariants'' (introduced in [13]) of an algebraic hyperelliptic plane curve.
O Marchal, B Eynard, Marchal, Olivier, Bertrand Eynard, Eynard, Bertrand, Olivier Marchal   +5 more
core   +1 more source

A Categorical Approach to the Study of Non-Commutative Motives

, 2023
We introduce a novel categorical framework for the study of non-commutative motives, drawing connections between derived categories of non-commutative spaces and classical motives in algebraic geometry.
Ranjeet Kumar
core   +2 more sources

Non-associative algebras of cubic matrices and their gauge theories

Journal of High Energy Physics
Motivated by M-theory, we define a new type of non-associative algebra involving usual and cubic matrices at the same time. The resulting algebra can be regarded as a two-term truncated L ∞ algebra giving rise to a fundamental identity between the two ...
Ralph Blumenhagen, Antonia Paraskevopoulou, Thomas Raml   +2 more
doaj   +1 more source

Preface to volume "Non-regular spacetime geometry"

, 2018
The Florence meeting provided an opportunity for the mathematical relativists interested in non-regular spacetime geometry to get together with mathematical and theoretical physicists interested in non-commutative geometry, in particular in Connes ...
ettore minguzzi, Minguzzi, Ettore
core   +1 more source