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02445nam a22004935i 4500 |
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978-0-306-46969-5 |
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DE-He213 |
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20151204164813.0 |
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cr nn 008mamaa |
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100301s1999 xxu| s |||| 0|eng d |
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|a 9780306469695
|9 978-0-306-46969-5
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|a 10.1007/b115001
|2 doi
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|d GrThAP
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|a QA440-699
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|a MAT012000
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|a 516
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|a Thomas, Charles B.
|e author.
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|a Elliptic Cohomology
|h [electronic resource] /
|c by Charles B. Thomas.
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|a Boston, MA :
|b Springer US,
|c 1999.
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|a XII, 200 p.
|b online resource.
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|a text
|b txt
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|a computer
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|a online resource
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|a text file
|b PDF
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|a The University Series in Mathematics
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|a Elliptic Genera -- Cohomology Theory Ell*(X) -- Work of M. Hopkins, N. Kuhn, and D. Ravenel -- Mathieu Groups -- Cohomology of Certain Simple Groups -- Ell*(BG) — Algebraic Approach -- Completion Theorems -- Elliptic Objects -- Variants of Elliptic Cohomology -- K3-Cohomology.
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|a 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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|a Mathematics.
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|a Geometry.
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|a Number theory.
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|a Physics.
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|a Mathematics.
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|a Geometry.
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|a Number Theory.
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|a Theoretical, Mathematical and Computational Physics.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9780306460975
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|a The University Series in Mathematics
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|u http://dx.doi.org/10.1007/b115001
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a ZDB-2-BAE
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|a Mathematics and Statistics (Springer-11649)
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