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9780521700405

Elliptic Cohomology: Geometry, Applications, and Higher Chromatic Analogues

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  • ISBN13:

    9780521700405

  • ISBN10:

    052170040X

  • Format: Paperback
  • Copyright: 2007-04-30
  • Publisher: Cambridge University Press

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Summary

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.

Table of Contents

Preface
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 Emanuel Diaconescu
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
Table of Contents provided by Publisher. All Rights Reserved.

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