Link Invariants and Combinatorial Quantization of Hamiltonian Chern-Simons Theory

Details Link Invariants and Combinatorial Quantization of Hamiltonian Chern-Simons Theory Link Invariants and Combinatorial Quantization of Hamiltonian Chern-Simons Theory

1995-07-04

arxiv.org/abs/q-alg/9507001v1

Mathematics

Quantum Algebra

39, latex, 7 figures

Scientific paper

10.1007/BF02101008

We define and study the properties of observables associated to any link in $\Sigma\times {\bf R}$ (where $\Sigma$ is a compact surface) using the combinatorial quantization of hamiltonian Chern-Simons theory. These observables are traces of holonomies in a non commutative Yang-Mills theory where the gauge symmetry is ensured by a quantum group. We show that these observables are link invariants taking values in a non commutative algebra, the so called Moduli Algebra. When $\Sigma=S^2$ these link invariants are pure numbers and are equal to Reshetikhin-Turaev link invariants.

Affiliated with

Also associated with

No associations

Rating

Link Invariants and Combinatorial Quantization of Hamiltonian Chern-Simons Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Link Invariants and Combinatorial Quantization of Hamiltonian Chern-Simons Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Link Invariants and Combinatorial Quantization of Hamiltonian Chern-Simons Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-264446