Geodesic
Moves and invariants for knotted handlebodies
Ishii, Atsushi1
1Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan
Algebraic and Geometric Topology, Tome 8 (2008) no. 3, pp. 1403-1418
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We give fundamental moves for the neighborhood equivalence classes of spatial trivalent graphs. We define a coloring invariant and a cocycle invariant for the neighborhood equivalence classes and then for all spatial graphs. We show that the cocycle invariant detects the chirality of a knotted handlebody.

DOI : 10.2140/agt.2008.8.1403
Keywords: knotted handlebody, spatial graph, coloring, cocycle invariant, chirality

Ishii, Atsushi  1

1 Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan 
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Ishii, Atsushi. Moves and invariants for knotted handlebodies. Algebraic and Geometric Topology, Tome 8 (2008) no. 3, pp. 1403-1418. doi: 10.2140/agt.2008.8.1403

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