Vertex Operator Algebras and K-theory
by
Chongying Dong
University of California, Santa Cruz

Lecture I: I will review the theory of vertex operator algebras and their modules. I will define contragredient modules, bilinear form, fusion tensor product of two modules. Lecture II: I will define vertex operator algebra bundles and discuss the properties. Infinite symmetric tensor products and infinite wedge tensor products of tangent bundles are examples of vertex operator algebra bundles. Lecture III: I will use vertex operator algebra bundles to define k-theories associated to the fusion tensor product and tensor product of vertex operator algebras. I will also discuss connection between the vertex operator algebra k-theory and the classical k-theory.

Date received: June 23, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cals-15.