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Elliptic Cohomology (University Series in Mathematics): Charles B. Thomas

Elliptic cohomology is an extremely beautiful theory with both geometric and arithmetic aspects. The former is explained by the fact that the theory is a quotient of oriented cobordism localised away from 2, the latter by the fact that the coefficients coincide with a ring of modular forms. The aim of the book is to construct this cohomology theory, and evaluate it on classifying spaces BG of finite groups G. This class of spaces is important, since (using ideas borrowed from `Monstrous Moonshine') it is possible to give a bundle-theoretic definition of EU-(BG). Concluding chapters also discuss variants, generalisations and potential applications.

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	Study The Heart of Cohomology Goro Kato, The Heart of Cohomology Springer \| ISBN: 1402050356 \| 1 edition (November 14, 2006) \| 195 pages \| PDF \| 2.3 Mb If you have not heard about cohomology, this book may be suited for you. Fundamental notions in cohomology for exampl ...
	Science/Engineering Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators (Operator Theory: Advances and Applications / Advances in Partial Differential Equations): Vladimir E. Nazaikinskii, Anton Yu. Savin, Boris Yu. Sternin Birkhäuser Ba ...
	Science/Engineering Generalized Cohomology Akira Kono, Dai Tamaki, "Generalized Cohomology" American Mathematical Society \| 2006 \| ISBN: 0821835149 \| 256 pages \| Djvu \| 2,8 MB In the 1950s, Eilenberg and Steenrod presented their famous characterization of homology theory by seve ...
	Science/Engineering From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes Ib H. Madsen, Jxrgen Tornehave, "From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes" Cambridge University Press \| 1997 \| ISBN: 0521589568 \| 296 pages \| PDF \| 12 MB De Rham cohomology is the cohomology of differenti ...
	Mathematics From Calculus to Cohomology: De Rham Cohomology and Characteristic Classes Author: Ib Henning Madsen, Jørgen TornehavePublisher: Cambridge University PressPages: 286De Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory of charact ...
	Representations and Cohomology,Vol.2: Cohomology of Groups and Modules D. J. Benson, "Representations and Cohomology,Vol.2: Cohomology of Groups and Modules" Cambridge University Press \| 1998 \| ISBN: 0521636523, 0521361354 \| 292 pages \| PDF \| 2,1 MB The heart of the book is a lengthy introduction to the r ...

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