Elliptic Cohomology

Haynes R. Miller, Douglas C. Ravenel - Collection London Mathematical Society Lecture Notes

364 pages, parution le 20/04/2007

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Résumé

Edward Witten once said that Elliptic Cohomology was a piece of 21st Century Mathematics that happened to fall into the 20th Century. He also likened our understanding of it to what we know of the topography of an archipelago; the peaks are beautiful and clearly connected to each other, but the exact connections are buried, as yet invisible. This very active subject has connections to algebraic topology, theoretical physics, number theory and algebraic geometry, and all these connections are represented in the sixteen papers in this volume. A variety of distinct perspectives are offered, with topics including equivariant complex elliptic cohomology, the physics of M-theory, the modular characteristics of vertex operator algebras, and higher chromatic analogues of elliptic cohomology. This is the first collection of papers on elliptic cohomology in almost twenty years and gives a broad picture of the state of the art in this important field of mathematics.

Presents the current state of the art in elliptic cohomology
First collection of papers on this subject for 20 years
Ideal for graduate students and researchers in topology, algebraic geometry, representation theory and string theory

Sommaire

Discrete torsion for the supersingular orbifold sigma genus + Quaternionic elliptic objects and K3-cohomology
Algebraic groups and equivariant cohomology theories
Delocalised equivariant elliptic cohomology
On finite resolutions of K(n)-local spheres
Chromatic phenomena in the algebra of BP*BP-comodules
Numerical polynomials and endomorphisms of formal group laws
Thom prospectra for loopgroup representations
Rational vertex operator algebras
A possible hierarchy of Morava K-theories
The M-theory 3-form and E8 gauge theory + The motivic Thom isomorphism
Toward higher chromatic analogs of elliptic cohomology + What is an elliptic object?
Spin cobordism, contact structure and the cohomology of p-groups
Brave New Algebraic Geometry and global derived moduli spaces of ring spectra + The elliptic genus of a singular variety

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	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Haynes R. Miller, Douglas C. Ravenel
Collection	London Mathematical Society Lecture Notes
Parution	20/04/2007
Nb. de pages	364
Format	15,5 x 23
Couverture	Broché
Poids	526g
Intérieur	Noir et Blanc
EAN13	9780521700405
ISBN13	978-0-521-70040-5