Results 51 to 60 of about 17,456 (150)
The spectral distance on the Moyal plane
, 2011 We study the noncommutative geometry of the Moyal plane from a metric point of view. Starting from a non compact spectral triple based on the Moyal deformation A of the algebra of Schwartz functions on R^2, we explicitly compute Connes' spectral distance
Alfsen +43 more
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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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A Helson-Szeg\"o theorem for subdiagonal subalgebras with applications to Toeplitz operators
, 2013 We formulate and establish a noncommutative version of the well known Helson-Szego theorem about the angle between past and future for subdiagonal subalgebras.
Labuschagne, Louis E, Xu, Quanhua
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Noncommutativity and theta-locality
, 2008 In this paper, we introduce the condition of theta-locality which can be used as a substitute for microcausality in quantum field theory on noncommutative spacetime.
Bogoliubov N N +11 more
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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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The Structure of Spacetime and Noncommutative Geometry
, 2008 We give a general and nontechnical review of some aspects of noncommutative geometry as a tool to understand the structure of spacetime. We discuss the motivations for the constructions of a noncommutative geometry, and the passage from commutative to ...
Lizzi, Fedele
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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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Dynamical Systems on Spectral Metric Spaces [PDF]
, 2010 Let (A,H,D) be a spectral triple, namely: A is a C*-algebra, H is a Hilbert space on which A acts and D is a selfadjoint operator with compact resolvent such that the set of elements of A having a bounded commutator with D is dense.
Bellissard, Jean V. +2 more
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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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