Search Results - "Freed, Daniel S"

Gapped Boundary Theories in Three Dimensions by Freed, Daniel S., Teleman, Constantin

“…We prove a theorem in 3-dimensional topological field theory: a Reshetikhin–Turaev theory admits a nonzero boundary theory iff it is a Turaev–Viro theory. The…”
Get full text

Consistency of M-Theory on Non-Orientable Manifolds by Freed, Daniel S, Hopkins, Michael J

“…Abstract We prove that there is no parity anomaly in M-theory in the low-energy field theory approximation. Our approach is computational. We determine the…”
Get full text

The Atiyah--Singer index theorem by Freed, Daniel

“…The Atiyah–Singer index theorem, a landmark achievement of the early 1960s, brings together ideas in analysis, geometry, and topology. We recount some…”
Get full text

Anomalies in the space of coupling constants and their dynamical applications I by Cordova, Clay, Freed, Daniel, Lam, Ho Tat, Seiberg, Nathan

“…It is customary to couple a quantum system to external classical fields. One application is to couple the global symmetries of the system (including the…”
Get full text

Anomalies in the space of coupling constants and their dynamical applications II by Cordova, Clay, Freed, Daniel, Lam, Ho Tat, Seiberg, Nathan

“…We extend our earlier work on anomalies in the space of coupling constants to four-dimensional gauge theories. Pure Yang-Mills theory (without matter) with a…”
Get full text

Loop groups and twisted K-theory II by FREED, DANIEL S., HOPKINS, MICHAEL J., TELEMAN, CONSTANTIN

Get full text

Heisenberg groups and noncommutative fluxes by Freed, Daniel S., Moore, Gregory W., Segal, Graeme

“…We develop a group-theoretical approach to the formulation of generalized abelian gauge theories, such as those appearing in string theory and M-theory. We…”
Get full text

The uncertainty of fluxes by FREED, Daniel S, MOORE, Gregory W, SEGAL, Graeme

“…In the ordinary quantum Maxwell theory of a free electromagnetic field, formulated on a curved 3-manifold, we observe that magnetic and electric fluxes cannot…”
Get full text

Chern--Weil forms and abstract homotopy theory by Freed, Daniel S., Hopkins, Michael J.

“…-bundle. We use the homotopy theory of simplicial sheaves on smooth manifolds to formulate the theorem and set up the proof. Other arguments come from…”
Get full text

Loop groups and twisted K-theory III by Freed, Daniel S., Hopkins, Michael J., Teleman, Constantin

“…In this paper, we identify the Ad-equivariant twisted K-theory of a compact Lie group G with the "Verlinde group" of isomorphism classes of admissible…”
Get full text

Setting the quantum integrand of M-theory by FREED, Daniel S, MOORE, Gregory W

“…In anomaly-free quantum field theories the integrand in the bosonic functional integral—the exponential of the effective action after integrating out…”
Get full text

Computer calculation of witten's 3-manifold invariant by FREED, D. S, GOMPF, R. E

Get full text

Relative Quantum Field Theory by Freed, Daniel S., Teleman, Constantin

“…We highlight the general notion of a relative quantum field theory , which occurs in several contexts. One is in gauge theory based on a compact Lie algebra,…”
Get full text

Commentary on "Lectures on Morse theory, old and new" by Freed, Daniel

“…Freed comments on Lectures on Morse theory, old and new by Raoul Bott. This is finite dimensional Morse theory, and while it extends in this form to infinite…”
Get full text

Twisted Equivariant Matter by Freed, Daniel S., Moore, Gregory W.

“…We show how general principles of symmetry in quantum mechanics lead to twisted notions of a group representation. This framework generalizes both the…”
Get full text

The Cobordism hypothesis by Freed, Daniel

“…In this expository paper we introduce extended topological quantum field theories and the cobordism hypothesis…”
Get full text

Chern-Simons theory with finite gauge group by FREED, D. S, QUINN, F

Get full text

The Verlinde algebra is twisted equivariant K-theory by FREED, Daniel S

“…The Verlinde algebra, which mathematically appears in the theory of loop groups and is related to moduli spaces of bundles over curves, turns out to be…”
Get full text

Higher algebraic structures and quantization by FREED, D. S

Get full text

Remarks on Chern-Simons theory by Freed, Daniel S.

“…The classical Chern-Simons invariant is the basis for a 3-dimensional topological quantum field theory. We describe some of the mathematical structure which…”
Get full text