Title of Paper:
Two-vector bundles and forms of elliptic cohomology
Authors:
Nils A. Baas, Bjorn I. Dundas and John Rognes
Addresses of Authors:
Department of Mathematical Sciences
The Norwegian University of Science and Technology
NO-7491 Trondheim
Norway
Department of Mathematical Sciences
The Norwegian University of Science and Technology
NO-7491 Trondheim
Norway
Department of Mathematics
University of Oslo
NO-0316 Oslo
Norway
Email address of Authors:
baas@math.ntnu.no, dundas@math.ntnu.no and rognes@math.uio.no
In this paper we define 2-vector bundles as suitable bundles of 2-vector
spaces over a base space, and compare the resulting 2-K-theory with
the algebraic K-theory spectrum K(V) of the 2-category of 2-vector
spaces, as well as the algebraic K-theory spectrum K(ku) of the
connective topological K-theory spectrum ku. We explain how K(ku)
detects v_2-periodic phenomena in stable homotopy theory, and as such
is a form of elliptic cohomology.