Topological quantum field theory with corners based on the Kauffman bracket

Details Topological quantum field theory with corners based on the Kauffman bracket Topological quantum field theory with corners based on the Kauffman bracket

1996-03-06

arxiv.org/abs/q-alg/9603002v1

Mathematics

Quantum Algebra

Latex, 28 pages, 39 figures

Scientific paper

The paper contains the construction of a topological quantum field theory with corners that underlies the smooth topological quantum field theory of Lickorish. Among other things, a contraction formula for diagrams is proved, the presence of the skein relation at the level of manifolds with boundary is shown and an explanation for the surgery formula for invariants of closed manifolds is given.

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