Results 1 to 10 of about 197 (138)
Noncommutative topology and the world’s simplest index theorem [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 2010 In this article we outline an approach to index theory on the basis of methods of noncommutative topology. We start with an explicit index theorem for second-order differential operators on 3-manifolds that are Fredholm but not elliptic. This low-brow index formula is expressed in terms of winding numbers. We then proceed to show how it is derived as a
van Erp E.
exaly +6 more sources
From factorizations of noncommutative polynomials to combinatorial topology [PDF]
Open Mathematics, 2010 Abstract This is an extended version of a talk given by the author at the conference “Algebra and Topology in Interaction” on the occasion of the 70th Anniversary of D.B. Fuchs at UC Davis in September 2009. It is a brief survey of an area originated around 1995 by I. Gelfand and the speaker.
Retakh Vladimir
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Noncommutative tensor triangulated categories and coherent frames
Comptes Rendus. Mathématique, 2023 We develop a point-free approach for constructing the Nakano–Vashaw–Yakimov–Balmer spectrum of a noncommutative tensor triangulated category under certain assumptions.
Mallick, Vivek Mohan, Ray, Samarpita
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Experimental characterization of three-band braid relations in non-Hermitian acoustic lattices
Physical Review Research, 2023 The nature of complex eigenenergy enables unique band topology in non-Hermitian (NH) lattices. Recently, there has been fast growing interest in the elusive winding and braiding topologies of the NH single and double bands, respectively. Here, we explore
Qicheng Zhang +6 more
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Quantum metric spaces of quantum maps
Universal Journal of Mathematics and Applications, 2018 We show that any quantum family of quantum maps from a noncommutative space to a compact quantum metric space has a canonical quantum pseudo-metric structure.
Maysam Maysami Sadr
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Emergent fuzzy geometry and fuzzy physics in four dimensions
Nuclear Physics B, 2017 A detailed Monte Carlo calculation of the phase diagram of bosonic mass-deformed IKKT Yang–Mills matrix models in three and six dimensions with quartic mass deformations is given.
Badis Ydri, Ahlam Rouag, Khaled Ramda
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Floquet many-body engineering: topology and many-body physics in phase space lattices
New Journal of Physics, 2018 Hamiltonians which are inaccessible in static systems can be engineered in periodically driven many-body systems, i.e., Floquet many-body systems. We propose to use interacting particles in a one-dimensional (1D) harmonic potential with periodic kicking ...
Pengfei Liang +2 more
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Spectral Distances: Results for Moyal Plane and Noncommutative Torus
Symmetry, Integrability and Geometry: Methods and Applications, 2010 The spectral distance for noncommutative Moyal planes is considered in the framework of a non compact spectral triple recently proposed as a possible noncommutative analog of non compact Riemannian spin manifold.
Eric Cagnache, Jean-Christophe Wallet
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Null projections and noncommutative function theory in operator algebras
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We study projections in the bidual of a C∗$\mathrm{C}^*$‐algebra B$B$ that are null with respect to a subalgebra A$A$, that is, projections p∈B∗∗$p\in B^{**}$ satisfying |φ|(p)=0$|\varphi |(p)=0$ for every φ∈B∗$\varphi \in B^*$ annihilating A$A$. In the separable case, A$A$‐null projections are precisely the peak projections in the bidual of A$
David P. Blecher, Raphaël Clouâtre
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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