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|a UAMI
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|a Elliptic cohomology :
|b geometry, applications, and higher chromatic analogues /
|c [edited by] Haynes R. Miller, Douglas C. Ravenel.
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|a Elliptic cohomology and chromatic phenomena
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|a Cambridge, UK ;
|a New York :
|b Cambridge University Press,
|c 2007.
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|a 1 online resource (xiv, 364 pages) :
|b portrait
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|a online resource
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|a London Mathematical Society lecture note series ;
|v 342
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|a Title from PDF title page (viewed on Apr 9, 2013).
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|a "[Papers from] a workshop entitled 'Elliptic Cohomology and Chromatic Phenomena' ... held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, on 9-20 December, 2002"--Preface
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|a Includes bibliographical references.
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|a First collection of papers on elliptic cohomology in twenty years; represents the diversity of topics within this important field.
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|a Cover; Title; Copyright; Contents; Preface; Charles Thomas, 1938-2005; 1. Discrete torsion for the supersingular orbifold sigma genus; 1. Introduction; 2. The sigma orientation and the sigma genus; 3. The sigma genus; 4. The Borel-equivariant sigma genus; 5. Character theory; 6. The orbifold sigma genus; 7. Comparison with the analytic equivariant genus; 8. The cocycle; 9. Discrete torsion; 10. The non-abelian Case; References; 2. Quaternionic elliptic objects and K3-cohomology; 1. Introduction; 2. The sigma orientation and the sigma genus; 3. The sigma genus.
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|a 4. The Borel-equivariant sigma genus5. Character theory; 6. The orbifold sigma genus; 7. Comparison with the analytic equivariant genus; 8. The cocycle; 9. Discrete torsion; 10. The non-abelian Case; References; 3. The M-theory 3-form and E8 gauge theory; 1. Introduction; 2. The gauge equivalence class of a C-field; 3. Models for the C-field; 4. The definition of the C-field measure for Y without boundary; 5. The C-field measure when Y has a boundary; 6. The action of the gauge group on the physical wavefunction and the Gauss law; 7. The definition of C-field electric charge.
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|a 8. Mathematical Properties of KX(Č)9. Z as a cubic refinement, with applications to integration over flat C-fields; 10. Application 1: The 5-brane partition function; 11. Application 2: Relation of M-theory to K-theory; 12. Application 3: Comments on spatial boundaries; 13. Conclusions and future directions; References; 4. Algebraic groups and equivariant cohomology theories; Contents; 1. Introduction.; 2. K-theory and the multiplicative group.; 3. The shape of a cohomology theory.; 4. The non-split torus.; 5. Elliptic cohomology and elliptic curves.; 6. T-equivariant elliptic cohomology.
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|a 7. Shapes from projective varieties. 8. Rational equivariant cohomology theories.; 9. The model for the circle group G = T.; 10. Reflecting the group structure of the elliptic curve.; References; 5. Delocalised equivariant elliptic cohomology (with an introduction by Matthew Ando and Haynes Miller); References; 6. On finite resolutions of K(n)-local spheres; 0. Introduction; 1. Background; 1.1 Localization with respect to Morava K-theory.; 1.2 The stabilizer groups.; 1.3 Homotopy xed point spectra.; 2. The case n= 0 mod p-1; 2.1 Explicit examples I; 2.2 The general case.
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|a Homology theory
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|a Algebraic topology
|v Congresses.
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|a Homologie
|v Congrès.
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|a Topologie algébrique
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|a Conference papers and proceedings
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|a Miller, Haynes R.,
|d 1948-
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|a Ravenel, Douglas C.
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|a London Mathematical Society.
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|i Print version:
|t Elliptic cohomology.
|d Cambridge, U.K. ; New York : Cambridge University Press, 2007
|w (DLC) 2007297575
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|a London Mathematical Society lecture note series ;
|v 342.
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