A calculus for branched spines of 3-manifolds

DOI10.1007/s00209-005-0810-0zbMath1081.57009arXivmath/0403014OpenAlexW1985399112MaRDI QIDQ2571404

Francesco Costantino

Publication date: 2 November 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403014

zbMATH Keywords

branched spinebubble-movesMatveev-Piergallini movesstate-sum invariant

Mathematics Subject Classification ID

Related Items (4)

Classical and quantum dilogarithmic invariants of flat \(\text{PSL}(2,\mathbb C)\)-bundles over 3-manifolds ⋮ Ideal triangulations of 3‐manifolds up to decorated transit equivalences ⋮ A Heegaard-type presentation of branched spines and the Reidemeister-Turaev torsion ⋮ Analytic families of quantum hyperbolic invariants

Cites Work

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• The dilogarithm as a characteristic class for flat bundles
• Branched standard spines of 3-manifolds
• State sum invariants of 3-manifolds and quantum \(6j\)-symbols
• On transformations of special spines and special polyhedra
• Quantum hyperbolic invariants of 3-manifolds with PSL\((2,\mathbb C)\)-characters
• Classical and quantum dilogarithmic invariants of flat \(\text{PSL}(2,\mathbb C)\)-bundles over 3-manifolds
• TRANSFORMATIONS OF SPECIAL SPINES AND THE ZEEMAN CONJECTURE
• COMBED 3-MANIFOLDS WITH CONCAVE BOUNDARY, FRAMED LINKS, AND PSEUDO-LEGENDRIAN LINKS
• Reidemeister-Turaev torsion of 3-dimensional Euler structures with simple boundary tangency and pseudo-Legendrian knots

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