A calculus for branched spine of 3-manifolds

Mathematics – Geometric Topology

Scientific paper

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15 pages, 12 figures. Revised version, to appear in Mathematische Zeitschrift

Scientific paper

10.1007/s00209-005-0810-0

We establish a calculus for branched spines of 3-manifolds by means of
branched Matveev-Piergallini moves and branched bubble-moves. We briefly
indicate some of its possible applications in the study and definition of
State-Sum Quantum Invariants.

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