Iterated K-theory and Functorial Field Theory

Abstract: Using previous work by Bass, Dundas, and Rognes giving a geometric model of the iterated K-theory spectrum K(ku) in terms of bundles of Kapranov-Voevodsky 2-vector spaces, and recent work by Grady and Pavlov providing a rigorous foundation for fully-extended functorial field theories, we construct a model of K(ku) in terms of 2-dimensional functorial field theories valued in KV 2-vector spaces.

mathematical physicsalgebraic topologycategory theory

Audience: researchers in the topic

Topology and Geometry Seminar (Texas, Kansas)