A calculus for branched spine of 3-manifolds

Abstract

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.

arXiv comment15 pages, 12 figures. Revised version, to appear in Mathematische Zeitschrift

References in corpus (3)

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• QHI Theory, II: Dilogarithmic and Quantum Hyperbolic Invariants of 3-Manifolds with PSL(2,C)-Characters
• QHI, 3-manifolds scissors congruence classes and the volume conjecture

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