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Cyclic Homology

2013-06-29 Mathematics
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Release : 2013-06-29
Genre : Mathematics
Kind : eBook
Book Rating : 392/5 ( reviews)

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Book Synopsis Cyclic Homology by : Jean-Louis Loday

Download or read book Cyclic Homology written by Jean-Louis Loday. This book was released on 2013-06-29. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive study of cyclic homology theory together with its relationship with Hochschild homology, de Rham cohomology, S1 equivariant homology, the Chern character, Lie algebra homology, algebraic K-theory and non-commutative differential geometry. Though conceived as a basic reference on the subject, many parts of this book are accessible to graduate students.

Cyclic Homology in Non-Commutative Geometry

2003-11-17 Mathematics
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Release : 2003-11-17
Genre : Mathematics
Kind : eBook
Book Rating : 699/5 ( reviews)

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Book Synopsis Cyclic Homology in Non-Commutative Geometry by : Joachim Cuntz

Download or read book Cyclic Homology in Non-Commutative Geometry written by Joachim Cuntz. This book was released on 2003-11-17. Available in PDF, EPUB and Kindle. Book excerpt: Contributions by three authors treat aspects of noncommutative geometry that are related to cyclic homology. The authors give rather complete accounts of cyclic theory from different points of view. The connections between (bivariant) K-theory and cyclic theory via generalized Chern-characters are discussed in detail. Cyclic theory is the natural setting for a variety of general abstract index theorems. A survey of such index theorems is given and the concepts and ideas involved in these theorems are explained.

Cyclic Homology

2013-03-09 Mathematics
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Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 899/5 ( reviews)

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Book Synopsis Cyclic Homology by : Jean-Louis Loday

Download or read book Cyclic Homology written by Jean-Louis Loday. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This is a very interesting book containing material for a comprehensive study of the cyclid homological theory of algebras, cyclic sets and S1-spaces. Lie algebras and algebraic K-theory and an introduction to Connes'work and recent results on the Novikov conjecture. The book requires a knowledge of homological algebra and Lie algebra theory as well as basic technics coming from algebraic topology. The bibliographic comments at the end of each chapter offer good suggestions for further reading and research. The book can be strongly recommended to anybody interested in noncommutative geometry, contemporary algebraic topology and related topics." European Mathematical Society Newsletter In this second edition the authors have added a chapter 13 on MacLane (co)homology.

String Topology and Cyclic Homology

2006-03-21 Mathematics
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Release : 2006-03-21
Genre : Mathematics
Kind : eBook
Book Rating : 881/5 ( reviews)

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Book Synopsis String Topology and Cyclic Homology by : Ralph L. Cohen

Download or read book String Topology and Cyclic Homology written by Ralph L. Cohen. This book was released on 2006-03-21. Available in PDF, EPUB and Kindle. Book excerpt: This book explores string topology, Hochschild and cyclic homology, assembling material from a wide scattering of scholarly sources in a single practical volume. The first part offers a thorough and elegant exposition of various approaches to string topology and the Chas-Sullivan loop product. The second gives a complete and clear construction of an algebraic model for computing topological cyclic homology.

Topics in Cyclic Theory

2020-07-09 Mathematics
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Release : 2020-07-09
Genre : Mathematics
Kind : eBook
Book Rating : 618/5 ( reviews)

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Book Synopsis Topics in Cyclic Theory by : Daniel G. Quillen

Download or read book Topics in Cyclic Theory written by Daniel G. Quillen. This book was released on 2020-07-09. Available in PDF, EPUB and Kindle. Book excerpt: This accessible introduction for Ph.D. students and non-specialists provides Quillen's unique development of cyclic theory.

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