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Graded non-commutative geometries

Journal of Geometry and Physics, 1993
The author presents a short exposition of graded finite non-commutative geometries. The theory that serves as an example is based on the algebra of matrices \(M_ n(C)\). This noncommutative algebra replaces the algebra of functions on a manifold. Consequently, vector fields, forms and connections are constructed.
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Spinning Particles and Non-Commutative Geometry

Physica Scripta, 2005
Summary: An emerged coordinate for noncommutative geometry is derived to the recent model of anyons, as spinning partticles in background gravity.
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Non-commutative Differential Geometry

1992
This chapter is an exposition, without any proof or detail, of some topics in Non-Commutative Differential Geometry (NCDG), which involve the cyclic theory.
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Spin and non-commutative geometry

Chaos, Solitons & Fractals, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Supersymmetry and Non-Commutative Geometry

1997
In these lectures we describe an approach to differential topology and geometry rooted in supersymmetric quantum theory. We show how the basic concepts and notions of differential geometry emerge from concepts and notions of the quantum theory of non-relativistic particles with spin, and how the classification of different types of differential ...
J. Fröhlich, O. Grandjean, A. Recknagel
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Formal (Non)-Commutative Symplectic Geometry

1993
Some time ago B. Feigin, V. Retakh and I had tried to understand a remark of J. Stasheff [S1] on open string theory and higher associative algebras [S2]. Then I found a strange construction of cohomology classes of mapping class groups using as initial data any differential graded algebra with finite-dimensional cohomology and a kind of Poincare ...
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Non-Commutative Geometry and Graphs

1990
Objects of this paper are complete digraphs (directed simple graphs). A colouring of such a digraph is a mapping from the vertices and the arcs onto a set F of colours. We assume that vertices and arcs are differently coloured but do provisionally no further restrictions. Following J. Pfalzgraf [8] we denote this mapping by .
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Non-Commutative Algebraic Geometry

1981
Freddy M. J. van Oystaeyen   +1 more
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