Jun Murakami

  1. Quantum Invariants for Handlebody-Knots.

    Authors: Atsuhiko Mizusawa, Jun Murakami
    Subjects: Geometric Topology
    Abstract

    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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