253 citations · 2.8k across the 50 of their papers we have counts for
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Topological dualities in the Ising model
Daniel S. Freed, Constantin Teleman
We relate two classical dualities in low-dimensional quantum field theory: Kramers-Wannier duality of the Ising and related lattice models in dimensions, with electromagnetic d…
Dirac Families for Loop Groups as Matrix Factorizations
Daniel S. Freed, Constantin Teleman
We identify the category of integrable lowest-weight representations of the loop group LG of a compact Lie group G with the linear category of twisted, conjugation-equivariant curv…
The cobordism hypothesis
Daniel S. Freed
In this expository paper we introduce extended topological quantum field theories and the cobordism hypothesis.
Topological Quantum Field Theories from Compact Lie Groups
Daniel S. Freed, Michael J. Hopkins, Jacob Lurie +1
It is a long-standing question to extend the definition of 3-dimensional Chern-Simons theory to one which associates values to 1-manifolds with boundary and to 0-manifolds. We prov…
Remarks on Chern-Simons Theory
Daniel S. Freed
In the late 1980s Witten used the Chern-Simons form of a connection to construct new invariants of 3-manifolds and knots, recovering in particular the Jones invariants. Since then…
Consistent Orientation of Moduli Spaces
Daniel S. Freed, Michael J. Hopkins, Constantin Teleman
We give an a priori construction of the two-dimensional reduction of three-dimensional quantum Chern-Simons theory. This reduction is a two-dimensional topological quantum field th…