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Elliptic Cohomology

  • Charles B. Thomas

Part of the The University Series in Mathematics book series (USMA)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Pages 1-5
  3. Pages 7-21
  4. Pages 49-60
  5. Pages 103-117
  6. Pages 119-142
  7. Pages 159-178
  8. Back Matter
    Pages 179-199

About this book

Introduction

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.

Keywords

Potential algebra cohomology finite group modular form

Authors and affiliations

  • Charles B. Thomas
    • 1
  1. 1.University of CambridgeCambridgeEngland

Bibliographic information