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Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators (Repost)

Posted By: AvaxGenius
Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators (Repost)

Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators by Vladimir E. Nazaikinskii, Anton Yu. Savin, Boris Yu. Sternin
English | PDF | 2008 | 224 Pages | ISBN : 3764387742 | 1.5 MB

This comprehensive yet concise book deals with nonlocal elliptic differential operators, whose coefficients involve shifts generated by diffeomorophisms of the manifold on which the operators are defined. The main goal of the study is to relate analytical invariants (in particular, the index) of such elliptic operators to topological invariants of the manifold itself. This problem can be solved by modern methods of noncommutative geometry.

Noncommutative Spacetimes: Symmetries in Noncommutative Geometry and Field Theory (Repost)

Posted By: AvaxGenius
Noncommutative Spacetimes: Symmetries in Noncommutative Geometry and Field Theory (Repost)

Noncommutative Spacetimes: Symmetries in Noncommutative Geometry and Field Theory by Paolo Aschieri
English | PDF | 2009 | 205 Pages | ISBN : 3540897925 | 2.2 MB

There are many approaches to noncommutative geometry and to its use in physics. This volume addresses the subject by combining the deformation quantization approach, based on the notion of star-product, and the deformed quantum symmetries methods, based on the theory of quantum groups.

Elements of Noncommutative Geometry

Posted By: AvaxGenius
Elements of Noncommutative Geometry

Elements of Noncommutative Geometry by José M. Gracia-Bondía
English | PDF | 2001 | 692 Pages | ISBN : 0817641246 | 55.2 MB

Our purpose and main concern in writing this book is to illuminate classical concepts from the noncommutative viewpoint, to make the language and techniques of noncommutative geometry accessible and familiar to practi­ tioners of classical mathematics, and to benefit physicists interested in the uses of noncommutative spaces. Same may say that ours is a very "com­ mutative" way to deal with noncommutative matters; this charge we readily admit.

Supersymmetry and Noncommutative Geometry

Posted By: arundhati
Supersymmetry and Noncommutative Geometry

Wim Beenakker, "Supersymmetry and Noncommutative Geometry "
English | ISBN: 3319247964 | 2016 | 148 pages | PDF | 2 MB