Branched standard spines of 3-manifolds

DOI10.1007/BFb0093620zbMath0873.57002OpenAlexW644302851MaRDI QIDQ678410

Carlo Petronio, Riccardo Benedetti

Publication date: 17 April 1997

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bfb0093620

zbMATH Keywords

3-manifoldstriangulationsquantum invariantsKirby calculusspinescombinatorial presentations

Mathematics Subject Classification ID

Related Items (34)

The universal quantum invariant and colored ideal triangulations ⋮ Branched spines and Heegaard genus of 3-manifolds ⋮ On DS-diagrams for 3-manifolds of Heegaard genus 2 ⋮ Classical and quantum dilogarithmic invariants of flat \(\text{PSL}(2,\mathbb C)\)-bundles over 3-manifolds ⋮ Unnamed Item ⋮ Stein domains and branched shadows of 4-manifolds ⋮ Spaces of tilings, finite telescopic approximations and gap-labeling ⋮ Representation of homeotopies of a torus by simple polyhedra with a boundary ⋮ 1-efficient triangulations and the index of a cusped hyperbolic 3-manifold ⋮ LINKS AND SPINES ⋮ Spines and surgery descriptions of graph manifolds ⋮ Ideal triangulations of 3‐manifolds up to decorated transit equivalences ⋮ Traversing three-manifold triangulations and spines ⋮ Positive flow-spines and contact 3-manifolds ⋮ The quantum content of the gluing equations ⋮ Spin structures on 3-manifolds via arbitrary triangulations ⋮ THE QUANTUM CONTENT OF THE NORMAL SURFACES IN A THREE-MANIFOLD ⋮ Spines, Heegard splittings and the Reidemeister-Turaev torsion ⋮ Classification of framed links in 3-manifolds ⋮ A Heegaard-type presentation of branched spines and the Reidemeister-Turaev torsion ⋮ Analytic families of quantum hyperbolic invariants ⋮ Combinatorial spin structures on triangulated manifolds ⋮ Stable maps and branched shadows of 3-manifolds ⋮ The Reidemeister-Turaev torsion of standard Spin\(^ c \) structures on Seifert fibered 3-manifolds ⋮ Barrett-Crane model from a Boulatov-Ooguri field theory over a homogeneous space ⋮ BRANCHED SHADOWS AND COMPLEX STRUCTURES ON 4-MANIFOLDS ⋮ Colored Turaev-Viro invariants of twist knots ⋮ Framing 3-manifolds with bare hands ⋮ An algorithm producing a standard spine of a 3-manifold presented by surgery along a link ⋮ A calculus for branched spines of 3-manifolds ⋮ Spines and homology of thin Riemannian manifolds with boundary ⋮ Generic flows on 3-manifolds ⋮ Complexity of 3-manifolds and combed 3-manifolds ⋮ Branched spines and contact structures on \(3\)--manifolds

This page was built for publication: Branched standard spines of 3-manifolds