Elliptic Cohomology

Hardcover | May 31, 1999

byCharles B. Thomas, C. B. Thomas

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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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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 ...

Format:HardcoverDimensions:210 pages, 9.25 × 6.1 × 0.04 inPublished:May 31, 1999Publisher:Springer USLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0306460971

ISBN - 13:9780306460975

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