Results 11 to 20 of about 1,466 (235)
Quantum Logic and Non-Commutative Geometry [PDF]
16 pages, to be published in the International Journal of Theoretical Physics, without ...
MARCHETTI, PIERALBERTO, RUBELE R.
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Introduction to Non-Commutative Geometry [PDF]
A review is made of some recent results in noncommutative geometry, especially those aspects which might in some way be of use in the study of strings and membranes. Efforts to add a gravitational field to noncommutative models of space-time are also reviewed. Special emphasis is placed on the case which could be considered as the noncommutative analog
J. Madore
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Non-commutative geometry, non-associative geometry and the standard model of particle physics
Connes’ notion of non-commutative geometry (NCG) generalizes Riemannian geometry and yields a striking reinterepretation of the standard model of particle physics, coupled to Einstein gravity.
Latham Boyle, Shane Farnsworth
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Brane tilings and non-commutative geometry [PDF]
We derive the quiver gauge theory on the world-volume of D3-branes transverse to an L(a,b,c) singularity by computing the endomorphism algebra of a tilting object first constructed by Van den Bergh. The quiver gauge theory can be concisely specified by an embedding of a graph into a face-centered cubic lattice.
Richard Eager
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Modular Theory, Non-Commutative Geometry and Quantum Gravity [PDF]
This paper contains the first written exposition of some ideas (announced in a previous survey) on an approach to quantum gravity based on Tomita-Takesaki modular theory and A.
Wicharn Lewkeeratiyutkul +2 more
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(non)commutative f-un geometry [PDF]
Stressing the role of dual coalgebras, we modify the definition of affine schemes over the 'field with one element'. This clarifies the appearance of Habiro-type rings in the commutative case, and, allows a natural noncommutative generalization, the study of representations of discrete groups and their profinite completions being our main motivation.
Lieven Le Bruyn
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Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
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Noncommutative algebraic geometry
The need for a noncommutative algebraic geometry is apparent in classical invariant and moduli theory. It is, in general, impossible to find commuting parameters parametrizing all orbits of a Lie group acting on a scheme. When one orbit is contained in the closure of another, the orbit space cannot, in a natural way, be given a scheme structure.
Olav Arnfinn Laudal
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Principal Fiber Bundles in Non-commutative Geometry [PDF]
50 pages, including table of contents and ...
Christian Kassel
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Categorical Non-commutative Geometry
The purpose of this short note was to outline the current status, then in 2011, of some research programs aiming at a categorification of parts of A.Connes' non-commutative geometry and to provide an outlook on some possible subsequent developments in categorical non-commutative geometry.
Bertozzini, Paolo +2 more
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