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Connes-Chern Character for Manifolds with Boundary and Eta Cochains

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Release : 2012
Genre : Mathematics
Kind : eBook
Book Rating : 966/5 ( reviews)

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Book Synopsis Connes-Chern Character for Manifolds with Boundary and Eta Cochains by : Matthias Lesch

Download or read book Connes-Chern Character for Manifolds with Boundary and Eta Cochains written by Matthias Lesch. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: "November 2012, volume 220, number (end of volume)."

Connes-Chern Character for Manifolds with Boundary and Eta Cochains

Download Connes-Chern Character for Manifolds with Boundary and Eta Cochains PDF Online Free

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Release :
Genre : Mathematics
Kind : eBook
Book Rating : 10X/5 ( reviews)

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Book Synopsis Connes-Chern Character for Manifolds with Boundary and Eta Cochains by : Matthias Lesch

Download or read book Connes-Chern Character for Manifolds with Boundary and Eta Cochains written by Matthias Lesch. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: The authors of this book express the Connes-Chern of the Dirac operator associated to a b-metric on a manifold with boundary in terms of a retracted cocycle in relative cyclic cohomology, whose expression depends on a scaling/cut-off parameter.

Fifth International Congress of Chinese Mathematicians

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Release : 2012
Genre : Mathematics
Kind : eBook
Book Rating : 868/5 ( reviews)

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Book Synopsis Fifth International Congress of Chinese Mathematicians by : Lizhen Ji

Download or read book Fifth International Congress of Chinese Mathematicians written by Lizhen Ji. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: This two-part volume represents the proceedings of the Fifth International Congress of Chinese Mathematicians, held at Tsinghua University, Beijing, in December 2010. The Congress brought together eminent Chinese and overseas mathematicians to discuss the latest developments in pure and applied mathematics. Included are 60 papers based on lectures given at the conference.

Noncommutative Geometry and Global Analysis

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Author :
Release : 2011
Genre : Mathematics
Kind : eBook
Book Rating : 441/5 ( reviews)

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Book Synopsis Noncommutative Geometry and Global Analysis by : Henri Moscovici

Download or read book Noncommutative Geometry and Global Analysis written by Henri Moscovici. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents the proceedings of the conference on Noncommutative Geometric Methods in Global Analysis, held in honor of Henri Moscovici, from June 29-July 4, 2009, in Bonn, Germany. Henri Moscovici has made a number of major contributions to noncommutative geometry, global analysis, and representation theory. This volume, which includes articles by some of the leading experts in these fields, provides a panoramic view of the interactions of noncommutative geometry with a variety of areas of mathematics. It focuses on geometry, analysis and topology of manifolds and singular spaces, index theory, group representation theory, connections of noncommutative geometry with number theory and arithmetic geometry, Hopf algebras and their cyclic cohomology.

Gromov, Cauchy and Causal Boundaries for Riemannian, Finslerian and Lorentzian Manifolds

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Release : 2013-10-23
Genre : Mathematics
Kind : eBook
Book Rating : 750/5 ( reviews)

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Book Synopsis Gromov, Cauchy and Causal Boundaries for Riemannian, Finslerian and Lorentzian Manifolds by : Jose Luis Flores

Download or read book Gromov, Cauchy and Causal Boundaries for Riemannian, Finslerian and Lorentzian Manifolds written by Jose Luis Flores. This book was released on 2013-10-23. Available in PDF, EPUB and Kindle. Book excerpt: Recently, the old notion of causal boundary for a spacetime V has been redefined consistently. The computation of this boundary ∂V on any standard conformally stationary spacetime V=R×M, suggests a natural compactification MB associated to any Riemannian metric on M or, more generally, to any Finslerian one. The corresponding boundary ∂BM is constructed in terms of Busemann-type functions. Roughly, ∂BM represents the set of all the directions in M including both, asymptotic and "finite" (or "incomplete") directions. This Busemann boundary ∂BM is related to two classical boundaries: the Cauchy boundary ∂CM and the Gromov boundary ∂GM. The authors' aims are: (1) to study the subtleties of both, the Cauchy boundary for any generalized (possibly non-symmetric) distance and the Gromov compactification for any (possibly incomplete) Finsler manifold, (2) to introduce the new Busemann compactification MB, relating it with the previous two completions, and (3) to give a full description of the causal boundary ∂V of any standard conformally stationary spacetime. J. L. Flores and J. Herrera, University of Malaga, Spain, and M. Sánchez, University of Granada, Spain. Publisher's note.

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