89 citations · 138 across the 3 of their papers we have counts for
7 papers
Twisted K-theory and loop group representations
Daniel S. Freed, Michael J. Hopkins, Constantin Teleman
This is the third paper of a series relating the equivariant twisted -theory of a compact Lie group to the ``Verlinde space'' of isomorphism classes of projective lowest-wei…
Twisted K-theory and loop groups
Daniel S. Freed
Twisted K-theory has received much attention recently in both mathematics and physics. We describe some models of twisted K-theory, both topological and geometric. Then we state a…
K-Theory in Quantum Field Theory
Daniel S. Freed
We survey three different ways in which K-theory in all its forms enters quantum field theory. In Part 1 we give a general argument which relates topological field theory in codime…
The Verlinde algebra is twisted equivariant K-theory
Daniel S. Freed
In joint work with M. Hopkins and C. Teleman we find a new description of the Verlinde algebra associated to a compact Lie group. In this expository account we describe twisted K-t…
Dirac Charge Quantization and Generalized Differential Cohomology
Daniel S. Freed
The main new result here is the cancellation of global anomalies in the Type I superstring, with and without D-branes. Our argument here depends on a precise interpretation of the…
Extended Structures in Topological Quantum Field Theory
Daniel S. Freed
In this note, based on a conference talk, we show how a 3 dimensional topological field theory leads to an algebraic gadget roughly equivalent to a quantum group. This is an exposi…