Algebraic & Geometric Topology 8 (2008) 1403–1418

DOI: 10.2140/agt.2008.8.1403

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.

Keywords

knotted handlebody, spatial graph, coloring, cocycle invariant, chirality

Mathematical Subject Classification

Primary: 57M27

Secondary: 57M15, 57M25

References

Publication

Received: 29 January 2008
Revised: 8 May 2008
Accepted: 13 June 2008
Published: 3 September 2008

Authors