Format:
Online-Ressource (XI, 199 p, online resource)
ISBN:
9780306469695
Series Statement:
The University Series in Mathematics
Content:
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.
Content:
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.
Note:
Description based upon print version of record
,
""Preliminaries""; ""Contents""; ""Introduction""; ""1. Elliptic Genera""; ""2. Cohomology Theory Ell*(X)""; ""3. Work of M. Hopkins, N. Kuhn, and D. Ravenel""; ""4. Mathieu Groups""; ""5. Cohomology of Certain Simple Groups""; ""6. Ell*(BG) â€? Algebraic Approach""; ""7. Completion Theorems""; ""8. Elliptic Objects""; ""9. Variants of Elliptic Cohomology""; ""10. K3-Cohomology""; ""A. Brownâ€?Peterson Cohomology""; ""B. Cayley Projective Plane OP2""; ""C. Index of Î?0(n) in SL2(Z)""; ""References""; ""Index""
Additional Edition:
ISBN 9780306460975
Additional Edition:
Erscheint auch als Druck-Ausgabe Thomas, C. B., 1938 - 2005 Elliptic cohomology New York [u.a.] : Kluwer Academic/Plenum Press, 1999 ISBN 0306460971
Language:
English
Subjects:
Mathematics
Keywords:
Kohomologie
;
Kohomologie
URL:
Volltext
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