77 citations · 80 across the 5 of their papers we have counts for
5 papers
Fully local Reshetikhin-Turaev theories
Daniel S. Freed, Claudia I. Scheimbauer, Constantin Teleman
Completing an arc of research initiated by Reshetikhin--Turaev and Witten, we construct fully local 3-dimensional topological field theories from non-degenerate braided fusion cate…
Discrete quantum systems from topological field theory
Daniel S. Freed, Michael J. Hopkins, Constantin Teleman
We introduce a technique to construct gapped lattice models using defects in topological field theory. We illustrate with 2+1 dimensional models, for example Chern-Simons theories.…
Gapped theories have torsion anomalies
Clay Córdova, Daniel S. Freed, Constantin Teleman
We prove special cases of a general conjecture: If an invertible field theory admits a projectively topological boundary theory, then it has finite order in the abelian group of in…
The Odd Fermion
Daniel S. Freed, Michael J. Hopkins, Constantin Teleman
In this short note we use the geometric approach to (topological) field theory to address the question: Does an odd number of quantum mechanical fermions make sense?
Loop groups and twisted K-theory I
Daniel S. Freed, Michael J. Hopkins, Constantin Teleman
This is the first in a series of papers investigating the relationship between the twisted equivariant K-theory of a compact Lie group G and the "Verlinde ring" of its loop group.…