Results 71 to 80 of about 17,484 (160)
Random finite noncommutative geometries and topological recursion
Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their InteractionsIn this paper, we investigate a model for quantum gravity on finite noncommutative spaces using the theory of blobbed topological recursion. The model is based on a particular class of random finite real spectral triples {(\mathcal{A}, \mathcal{H}, D, \gamma, J)} , called random matrix ...
Shahab Azarfar, Masoud Khalkhali
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Hyperbolic geometry on noncommutative balls [PDF]
, 2009 In this paper, we study the hyperbolic geometry of noncommutative balls generated by the joint operator radius $\omega_\rho$, $\rho\in (0,\infty]$, for $n$-tuples of bounded linear operators on a Hilbert space.
Popescu, Gelu
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Noncommutative Topological Quantum Field Theory-Noncommutative Floer Homology
, 2005 We present some ideas for a possible Noncommutative Floer Homology. The geometric motivation comes from an attempt to build a theory which applies to practically every 3-manifold (closed, oriented and connected) and not only to homology 3-spheres. There is also a physical motivation: one would like to construct a noncommutative topological quantum ...
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Topographic Gromov-Hausdorff quantum Hypertopology for Quantum Proper Metric Spaces
, 2014 We construct a topology on the class of pointed proper quantum metric spaces which generalizes the topology of the Gromov-Hausdorff distance on proper metric spaces, and the topology of the dual propinquity on Leibniz quantum compact metric spaces.
Latremoliere, Frederic
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, 2014 We present some ideas for a possible Noncommutative Topological Quantum Field Theory (NCTQFT) and Noncommutative Floer Homology (NCFH). Our motivation is two-fold and it comes both from physics and mathematics: On the one hand we argue that NCTQFT is the correct mathematical framework for a quantum field theory of all known interactions in nature ...
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TOPOLOGICAL STATES OF MATTER AND NONCOMMUTATIVE GEOMETRY [PDF]
Bulletin of the Australian Mathematical Society, 2016 This thesis examines topological states of matter from the perspective of noncommutative geometry and KK-theory. Examples of such topological states of matter include the quantum Hall effect and topological insulators. For the quantum Hall effect, we consider a continuous model and show that the Hall conductance can be expressed in terms of the index ...
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Projective Systems of Noncommutative Lattices as a Pregeometric Substratum
, 1998 We present an approximation to topological spaces by {\it noncommutative} lattices. This approximation has a deep physical flavour based on the impossibility to fully localize particles in any position measurement.
Landi, Giovanni, Lizzi, Fedele
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A noncommutative version of Farber's topological complexity [PDF]
Topological Methods in Nonlinear Analysis, 2017 9 pages; minor mistakes removed; to appear in Topological Methods in Nonlinear ...
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, 2019 We introduce a new and extensive theory of noncommutative convexity along with a corresponding theory of noncommutative functions. We establish noncommutative analogues of the fundamental results from classical convexity theory, and apply these ideas to ...
Davidson, Kenneth R., Kennedy, Matthew
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From Topology to Noncommutative Geometry: $K$-theory
, 2014 We associate to each unital $C^*$-algebra $A$ a geometric object---a diagram of topological spaces representing quotient spaces of the noncommutative space underlying $A$---meant to serve the role of a generalized Gel'fand spectrum. After showing that any functor $F$ from compact Hausdorff spaces to a suitable target category can be applied directly to
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