By Nigel Higson
Analytic K-homology attracts jointly principles from algebraic topology, practical research and geometry. it's a software - a method of conveying details between those 3 matters - and it's been used with specacular luck to find striking theorems throughout a large span of arithmetic. the aim of this ebook is to acquaint the reader with the basic principles of analytic K-homology and enhance a few of its functions. It encompasses a special advent to the mandatory useful research, by way of an exploration of the connections among K-homology and operator idea, coarse geometry, index thought, and meeting maps, together with a close remedy of the Atiyah-Singer Index Theorem. starting with the rudiments of C - algebra thought, the e-book will lead the reader to a few important notions of up to date examine in geometric sensible research. a lot of the cloth integrated right here hasn't ever formerly seemed in ebook shape.
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Analytic K-Homology by Nigel Higson
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