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Beschreibung
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.
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.
Inhaltsverzeichnis
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.
Details
| Erscheinungsjahr: | 2013 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xii
200 S. |
| ISBN-13: | 9781475787580 |
| ISBN-10: | 1475787588 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Thomas, Charles B. |
| Auflage: | Softcover reprint of the original 1st edition 2002 |
| Hersteller: |
Springer
Springer US, New York, N.Y. |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 229 x 152 x 12 mm |
| Von/Mit: | Charles B. Thomas |
| Erscheinungsdatum: | 24.03.2013 |
| Gewicht: | 0,321 kg |
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