Noncommutative Geometry
Accounting for Some Aspects of Dark Matter and Dark Energy via Noncommutative Geometry
... a noncommutative-geometry background agrees with the dark-matter assumption, whose basic manifestation is the linearly increasing mass in the outward radial ...from noncommutative geometry in ...
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Self Sustained Traversable Wormholes Induced by Gravity’s Rainbow and Noncommutative Geometry
... In 1988 on the American Journal of Physics, M. S. Morris and K. S. Thorne published a paper entitled “Wormholes in spacetimes and their use for interstellar travel: A tool for teaching general relativ- ity”[1]. Although ...
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Noncommutative Geometry Inspired Charged Wormholes with Low Tidal Forces
... To overcome these problems, this paper discusses the modified wormhole model due to Kim and Lee in conjunction with a noncommutative-geometry background. The violation of the null energy condition can be ...
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Topological states of matter and noncommutative geometry
... The physical explanation of topological insulators is similar to the quantum Hall effect in that, as the name suggests, topological considerations are thought to play a central role. However, a mathematically rigorous ...
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Loop groups and noncommutative geometry
... in noncommutative geometry are spectral triples (A, (π, H), D), where apart from the algebra A, a representation π on some Hilbert space H and a selfadjoint operator D with compact resolvent on H are ...the ...
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Moduli Problems in Derived Noncommutative Geometry
... Throughout this work, we will assume familiarity with the language of homotopical mathematics as developed by Lurie in [Lur09, Lur11b, Lur04]. Specifically, we will assume that the reader has at least a fleeting ...
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Moduli Problems in Derived Noncommutative Geometry
... It is a remarkable fact that much of the geometry of a “geometric background” (algebraic space, symplectic manifold,...) is encoded in the noncommutative shadow attached to it, and the associated 2D-TFT. ...
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Topological Recursion and Random Finite Noncommutative Geometries
... in noncommutative geometry was effectively addressed by Connes in ...spectral geometry, index theory of Dirac operators and K-homology played an important role ...to noncommutative set- ...of ...
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On Spectral Invariants of Dirac Operators on Noncommutative Tori and Curvature of the Determinant Line Bundle for the Noncommutative Two Torus
... differential geometry, algebraic topology and index theory have been extended to a more general algebraic setting [2, ...of noncommutative geometry lies the fundamental duality between a point space X ...
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Isolated Hypersurface Singularities as Noncommutative Spaces
... We study the category of matrix factorizations associated to the germ of an isolated hypersurface singularity. This category is shown to admit a compact generator which is given by the stabilization of the residue field. ...
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Mapping spaces and automorphism groups of toric noncommutative spaces
... toric noncommutative spaces as living in this bigger ...toric noncommutative space in H G , ...toric noncommutative space X, which is a certain subobject in H G of the self- mapping space X X ...
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Rationality of the spectral action for Robertson-Walker metrics and the geometry of the determinant line bundle for the noncommutative two torus
... paradigms, noncommutative geometry is rooted in the heart of modern mathematics of the 20 th century such as index theory, spectral ge- ometry and spin ...of noncommutative geometry, ...
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Physical models from noncommutative causality
... call noncommutative causality the introduction of a causal order on noncommutative ...on noncommutative spacetimes is clearly not ...of noncommutative quantum field theory fail to define a ...
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Analysis on Vector Bundles over Noncommutative Tori
... in noncommutative geometry [16]. A noncommutative geometric space is a spectral triple ( A, H , D ), where A is an involutive algebra represented by bounded operators on a Hilbert space H , and D is ...
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On Reconstruction Theorems in Noncommutative Riemannian Geometry
... 2. an algebra bundle A, together with a monomorphism A → End(E) of algebra bundles over X , such that sections of A acts as even operators that commute with the Clifford action on E. In order to obtain an abstract ...
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UV/IR phenomenon of Noncommutative Quantum Fields in Example
... Noncommutative quantum field theory (NC QFT) is the natural generalization of standard quantum field theory (QFT). It has been intensively developed during the past years, for reviews, see [1,2]. The idea of NC ...
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Noncommutative complex geometry of quantum projective spaces
... While there has been much progress in noncommutative geometry, the progress in noncommutative complex geometry has been very slow and much remains to be done in this area. A beginning step in ...
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Some results on noncommutative Hardy Lorentz spaces
... The concept of maximal subdiagonal algebras A, which appeared earlier in Arveson’s pa- per [], unifies analytic function spaces and nonselfadjoint operator algebras. In fact, sub- diagonal algebras are the ...
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Randomized Polynomial-Time Identity Testing for Noncommutative Circuits
... for noncommutative circuits in general, as noncommutative circuits of size s can compute polynomials with a double- exponential (in s) number of ...homogeneous noncommutative circuits, that we call ...
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