III. Quantum Groups, Low-Dimensional Topology And Link Invariants

Quantum Groups

Volume 1510 of the series Lecture Notes in Mathematics pp 363-366


Quantum invariants of 3-manifold and a glimpse of shadow topology

  • Vladimir TuraevAffiliated withLeningrad Branch of Steklov Mathematical Institute and Université Louis Pasteur

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The paper announces explicit formulas relating two different approaches to constructing quantum invariants of 3-manifolds (see [1], [2]). A new formula for the linking number of classical knots is presented which enables one to extend the first of these approaches to ghost 3-manifold over ℂ.