Results 31 to 40 of about 525 (181)
A NOTE ON THE TOPOLOGICAL ORDER OF NONCOMMUTATIVE HALL FLUIDS [PDF]
International Journal of Modern Physics A, 2007 We evaluate the ground state degeneracy of noncommutative Chern–Simons models on the two-torus, a quantity that is interpreted as the "topological order" of associated phases of Hall fluids. We define the noncommutative theory via T-duality from an ordinary Chern–Simons model with non-Abelian 't Hooft magnetic fluxes.
Barbón, J. L. F., Gerber, D.
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A commutative noncommutative fractal geometry
, 2011 In this thesis examples of spectral triples, which represent fractal sets, are examined and new insights into their noncommutative geometries are obtained.
Samuel, Tony; id_orcid, Samuel, Anthony
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The noncommutative topology of one-dimensional spaces [PDF]
Pacific Journal of Mathematics, 1989 If \(X\) and \(Y\) are compact topological spaces, the unital star-homomorphisms from \(C(X)\) to \(C(Y)\) satisfy certain homotopy properties when X is an absolute neighborhood retract. We show that two of these properties still hold when \(C(Y)\) is replaced by a ``noncommutative space'', i.e.
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D-branes, RR-fields and duality on noncommutative manifolds
, 2008 We develop some of the ingredients needed for string theory on noncommutative spacetimes, proposing an axiomatic formulation of T-duality as well as establishing a very general formula for D-brane charges.
Szabo, Richard J.; id_orcid +14 more
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On the cohomology of finite‐dimensional nilpotent groups and Lie rings
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley +1 more source
Thermodynamic topology of AdS black holes within non-commutative geometry and Barrow entropy
Nuclear Physics BIn this paper, we explore the thermodynamic topology of Schwarzschild-AdS black holes within the framework of non-commutative geometry and Barrow entropy.
Aram Bahroz Brzo +3 more
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Tensorial permanence of K$K$‐stability for diagonal AH‐algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We study K$K$‐stability for tensor products of diagonal AH‐algebras with arbitrary C*‐algebras. Our main result provides a characterization of K$K$‐stability: For a diagonal AH‐algebra A=lim→(Ai,φi)$A = \varinjlim (A_i, \varphi _i)$, A⊗B$A \otimes B$ is K$K$‐stable for every C*‐algebra B$B$ if and only if the sizes of the matrix blocks in the ...
Apurva Seth
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Developments in noncommutative differential geometry [PDF]
, 2002 One of the great outstanding problems of theoretical physics is the quantisation of gravity, and an associated description of quantum spacetime. It is often argued that, at short distances, the manifold structure of spacetime breaks down and is replaced ...
Hale, Mark
core
Chern character for totally disconnected groups [PDF]
, 2009 In this paper we construct a bivariant Chern character for the equivariant $ KK $-theory of a totally disconnected group with values in bivariant equivariant cohomology in the sense of Baum and Schneider.
Voigt, C., Christian Voigt
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Quantum Frustration as a Protection Mechanism in Non‐Topological Majorana Qubits
Annalen der Physik, Volume 538, Issue 4, April 2026.Quantum frustration is proposed as a robust protection mechanism for non‐topological ‐junction qubit. By leveraging distinct spatial profiles, co‐located Majorana modes couple to independent environments, creating incompatible pointer bases that suppress decoherence.
E. Novais
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