Elliptic cohomology
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Author
Publication
1999 - Kluwer Academic/Plenum Press, New York, New York (State)
Language
English
Word Count
49,750 words, Guess
Page Count
199 pages
Identifiers
- Open LibraryOL383276M
- ISBN-100306460971
- OCLC Control Number40043614
- OCLC Control Numberellipticcohomolo00thom
- Library of Congress Control Number98045731
and 1 more
- Goodreads4942737
Classifications
- DDC514/.23
- LCCQA612.3 .T48 1999
Description
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.
Subjects
Series Statement
- The university series in mathematics
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