Results 91 to 100 of about 525 (181)
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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Quantum Spaces and Their Noncommutative Topology
, 2008 geometry studies the geometry of “quantum spaces”. Put a little more prosaically, this means the “geometric properties ” of noncommutative algebras (say, over the field C of complex numbers).
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Missing the point in noncommutative geometry. [PDF]
Synthese, 2021 Huggett N, Lizzi F, Menon T.
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, 2014 Symplectic geometry originated in physics, but it has flourished as an independent subject in mathematics, together with its offspring, symplectic topology. Symplectic methods have even been applied back to mathematical physics.
Eliashberg, Yakov +2 more
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Moduli space dynamics of noncommutative U(2) instantons
, 2015 We consider the low energy dynamics of charge two instantons on noncommutative ℝ NC 2 × ℝ NC 2 in U(2) 5-dimensional super-Yang-Mills, using the Manton approximation for slow-moving instantons to calculate the moduli space metric.
Iskauskas, Andrew +3 more
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Designing temporal networks that synchronize under resource constraints. [PDF]
Nat Commun, 2021 Zhang Y, Strogatz SH.
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Structural properties of the noncommutative KdV recursion operator
, 2011 The present work studies structural properties of the recursion operator of the noncommutative KdV equation. As the main result, it is proved that this operator is hereditary. The notion of hereditary operators was introduced by Fuchssteiner for infinite-
Schiebold, Cornelia,, C. Schiebold
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Derivations and KMS-Symmetric Quantum Markov Semigroups. [PDF]
Commun Math Phys, 2023 Vernooij M, Wirth M.
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, 2018 Modified gravity models play an important role in contemporary theoretical cosmology. The present book proposes a novel approach to the topic based on techniques from noncommutative geometry, especially the spectral action functional as a gravity model ...
Marcolli, Matilde
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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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