Book contents
- Frontmatter
- Contents
- Preface
- Charles Thomas, 1938–2005
- 1 Discrete torsion for the supersingular orbifold sigma genus
- 2 Quaternionic elliptic objects and K3-cohomology
- 3 The M-theory 3-form and E8 gauge theory
- 4 Algebraic groups and equivariant cohomology theories
- 5 Delocalised equivariant elliptic cohomology (with an introduction by Matthew Ando and Haynes Miller)
- 6 On finite resolutions of K(n)-local spheres
- 7 Chromatic phenomena in the algebra of BP*BP-comodules
- 8 Numerical polynomials and endomorphisms of formal group laws
- 9 Thom prospectra for loopgroup representations
- 10 Rational vertex operator algebras
- 11 A possible hierarchy of Morava K-theories
- 12 The motivic Thom isomorphism
- 13 Toward higher chromatic analogs of elliptic cohomology
- 14 What is an elliptic object?
- 15 Spin cobordism, contact structure and the cohomology of p-groups
- 16 Brave New Algebraic Geometry and global derived moduli spaces of ring spectra
- 17 The elliptic genus of a singular variety
Preface
Published online by Cambridge University Press: 03 May 2010
- Frontmatter
- Contents
- Preface
- Charles Thomas, 1938–2005
- 1 Discrete torsion for the supersingular orbifold sigma genus
- 2 Quaternionic elliptic objects and K3-cohomology
- 3 The M-theory 3-form and E8 gauge theory
- 4 Algebraic groups and equivariant cohomology theories
- 5 Delocalised equivariant elliptic cohomology (with an introduction by Matthew Ando and Haynes Miller)
- 6 On finite resolutions of K(n)-local spheres
- 7 Chromatic phenomena in the algebra of BP*BP-comodules
- 8 Numerical polynomials and endomorphisms of formal group laws
- 9 Thom prospectra for loopgroup representations
- 10 Rational vertex operator algebras
- 11 A possible hierarchy of Morava K-theories
- 12 The motivic Thom isomorphism
- 13 Toward higher chromatic analogs of elliptic cohomology
- 14 What is an elliptic object?
- 15 Spin cobordism, contact structure and the cohomology of p-groups
- 16 Brave New Algebraic Geometry and global derived moduli spaces of ring spectra
- 17 The elliptic genus of a singular variety
Summary
A workshop entitled “Elliptic Cohomology and Chromatic Phenomena” was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, on 9–20 December, 2002. The workshop attracted over 75 participants from thirteen nations. The event, an EU Workshop, was the final one in INI's program New Contexts for Stable Homotopy Theory held in the fall of that year. During the first week nineteen talks described a wide range of perspectives on elliptic genera and elliptic cohomology, including homotopy theory, vertex operator algebras, 2-vector spaces, and open string theories. The second week featured ten talks with a more specifically homotopy theoretic focus, but encompassing the higher chromatic variants of elliptic cohomology.
This was the first conference on elliptic cohomology since the one organized by Peter Landweber at the Institute for Advanced Study in Princeton in 1986. The proceedings of that conference were published in. The breadth of that volume is an indication of the multifaceted nature of the subject. From the start it has provided a meeting point for algebraic topology, number theory, and theoretical physics, playing in the present era a role analogous to the role of K-theory in the second half of the last century. Landweber's introduction to that volume, together with Serge Ochanine's contribution to it, provide good introduction to the origins of this subject.
The starting point was the study of genera of spin manifolds. A genus is a multiplicative bordism invariant, with values in some commutative ring.
- Type
- Chapter
- Information
- Elliptic CohomologyGeometry, Applications, and Higher Chromatic Analogues, pp. vii - xiiPublisher: Cambridge University PressPrint publication year: 2007