Moves and invariants for knotted handlebodies

Atsushi Ishii

doi:10.2140/agt.2008.8.1403

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Home > Journals > Algebr. Geom. Topol. > Volume 8 > Issue 3 > Article

2008 Moves and invariants for knotted handlebodies

Atsushi Ishii

Algebr. Geom. Topol. 8(3): 1403-1418 (2008). DOI: 10.2140/agt.2008.8.1403

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Abstract

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.