• DOI:10.1090/S0273-0979-96-00690-8
Corpus ID: 2594797

Links, quantum groups and TQFTs

@article{Sawin1995LinksQG,
  title={Links, quantum groups and TQFTs},
  author={S. Sawin},
  journal={Bulletin of the American Mathematical Society},
  year={1995},
  volume={33},
  pages={413-445}
}

S. Sawin

Published 1995

Mathematics, Physics

Bulletin of the American Mathematical Society

The Jones polynomial and the Kauffman bracket are constructed, and their relation with knot and link theory is described. The quantum groups and tangle functor formalisms for understanding these invariants and their descendents are given. The quantum group $U_q(sl_2)$, which gives rise to the Jones polynomial, is constructed explicitly. The $3$-manifold invariants and the axiomatic topological quantum field theories which arise from these link invariants at certain values of the parameter are… CONTINUE READING

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