| Description |
1 online resource (xiv, 364 pages) : portrait. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
London Mathematical Society lecture note series ; 342
|
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London Mathematical Society lecture note series ; 342.
|
| Note |
Title from PDF title page (viewed on Apr. 9, 2013). |
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"[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. |
| Bibliography |
Includes bibliographical references. |
| Summary |
First collection of papers on elliptic cohomology in twenty years; represents the diversity of topics within this important field. |
| Contents |
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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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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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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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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Homology theory -- Congresses.
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Homology theory. |
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Algebraic topology -- Congresses.
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Algebraic topology. |
| Genre/Form |
Electronic books.
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Conference papers and proceedings.
|
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Conference papers and proceedings.
|
| Added Author |
Miller, Haynes R., 1948-
|
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Ravenel, Douglas C.
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London Mathematical Society.
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| Added Title |
Elliptic cohomology and chromatic phenomena |
| Other Form: |
Print version: Elliptic cohomology. Cambridge, U.K. ; New York : Cambridge University Press, 2007 (DLC) 2007297575 |
| ISBN |
9781107362970 (electronic book) |
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1107362970 (electronic book) |
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9780511893865 (e-book) |
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0511893868 (e-book) |
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9780511721489 (ebook) |
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051172148X (ebook) |
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9781107367883 |
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1107367883 |
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9780521700405 (paperback) |
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052170040X (paperback) |
|
