Quantum Invariants for Handlebody-Knots

Details Quantum Invariants for Handlebody-Knots Quantum Invariants for Handlebody-Knots

2011-12-09

arxiv.org/abs/1112.2719v2

Mathematics

Geometric Topology

12 pages

Scientific paper

We construct quantum invariants for handlebody-knots in a 3-sphere S^3. A
handlebody-knot is an embedding of a handlebody in a 3-manifold. These
invariants are linear sums of Yokota's invariants for colored spatial graphs
which is defined by using Kauffman bracket. We also give a non-trivial example.

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