Elliptic Cohomology

Charles B. Thomas (Autor)

Buch | Softcover

200 Seiten

2013 | Softcover reprint of the original 1st ed. 2002
Springer-Verlag New York Inc.
978-1-4757-8758-0 (ISBN)

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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.

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.

Reihe/Serie	University Series in Mathematics
Zusatzinfo	XII, 200 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	152 x 229 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Naturwissenschaften ► Physik / Astronomie
ISBN-10	1-4757-8758-8 / 1475787588
ISBN-13	978-1-4757-8758-0 / 9781475787580
Zustand	Neuware