Results 11 to 20 of about 525 (181)
Spectral Distances: Results for Moyal Plane and Noncommutative Torus [PDF]
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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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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Noncommutative topological theories of gravity [PDF]
Physical Review D, 2003 The possibility of noncommutative topological gravity arising in the same manner as Yang-Mills theory is explored. We use the Seiberg-Witten map to construct such a theory based on a SL(2,C) complex connection, from which the Euler characteristic and the signature invariant are obtained.
García-Compeán, Hugo +3 more
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The Coupling of Topology and Inflation in Noncommutative Cosmology [PDF]
Communications in Mathematical Physics, 2011 We show that, in a model of modified gravity based on the spectral action functional, there is a nontrivial coupling between cosmic topology and inflation, in the sense that the shape of the possible slow-roll inflation potentials obtained in the model from the nonperturbative form of the spectral action are sensitive not only to the geometry (flat or ...
Marcolli, Matilde +2 more
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Noncommutative topological half-flat gravity [PDF]
General Relativity and Gravitation, 2005 12+1 pages, revtex4, no ...
García-Compeán, H. +2 more
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Noncommutative Topological Dynamics. II [PDF]
Transactions of the American Mathematical Society, 1984 This part deals with almost periodic and weakly mixing C ∗
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Noncommutative CW-spectra as enriched presheaves on matrix algebras
, 2022 Motivated by the philosophy that C*-algebras reflect noncommutative topology, we investigate the stable homotopy theory of the (opposite) category of C*-algebras. We focus on C*-algebras which are noncommutative CW-complexes in the sense of Eilers et al.
Arone, Gregory, +2 more
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Topological charges of noncommutative soliton [PDF]
Physics Letters B, 2001 The noncommutative soliton is characterized by the use of the projection operators in non-commutative space. By using the close relation with the K-theory of $C^*$-algebra, we consider the variations of projection operators along the commutative directions and identify their topological charges.
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A noncommutative deformation of topological field theory [PDF]
General Relativity and Gravitation, 2005 Cohomological Yang-Mills theory is formulated on a noncommutative differentiable four manifold through the $θ$-deformation of its corresponding BRST algebra. The resulting noncommutative field theory is a natural setting to define the $θ$-deformation of Donaldson invariants and they are interpreted as a mapping between the Chevalley-Eilenberg homology ...
García-Compeán, Hugo, Paniagua, Pablo
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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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