Virtual 2-vector bundles de nes an elliptic cohomology theory

By the well-known result of the Serre-Swan theorem, linking vector bundles to finitely generated, projective modules, we shall see that the modules of chapter 5 get a geometrical

We study generalized prime numbers in rings without unique factorization, modules and orders in algebraic number fields, class field theory and elliptic curves over the complex

We shall now take a different approach and define a homology theory where the k-th chain group is the free Abelian group generated by the critical points of index k and for which

Using Hausmann and Vogel's homology sphere bundle interpretation of algebraic K-theory, we construct K-theory invariants by a theory of characteristic classes for flat

The equivalence between the topological Hochschild homology of a ring and the homology of the category of finitely generated projective modules is established in IV.2, which

ˆ build a geometric theory for elliptic cohomology via generalized bundles and their differen- tial geometry with associated implications in quantum field theory and the

The equivariant nature of Bökstedt’s formulation of T HH is such that the actual fixed point spaces under the finite groups are nicely behaved 1.4.7, and in one respect they are

- build a geometric theory for elliptic cohomology via generalized bundles and their differential geometry with associated implications in quantum field theory and the