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A function on the homology of 3-manifolds

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Publication:2464746
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DOI10.2140/agt.2007.7.135zbMath1145.57011arXivmath/0611149OpenAlexW2150860181MaRDI QIDQ2464746

Vladimir G. Turaev

Publication date: 17 December 2007

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611149


zbMATH Keywords

homologyThurston normthree-manifold


Mathematics Subject Classification ID

Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10)


Related Items

A Survey of the Thurston Norm ⋮ Heegaard Floer correction terms and rational genus bounds ⋮ Correction terms, \(\mathbb{Z}_2\)-Thurston norm, and triangulations ⋮ Nonorientable surfaces in homology cobordisms (with an appendix by Ira M. Gessel) ⋮ Nonlooseness of nonloose knots



Cites Work

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  • Reidemeister torsion, the Thurston norm and Harvey's invariants
  • Scalar curvature and the Thurston norm
  • Reidemeister-Turaev torsion modulo one of rational homology threespheres
  • Quadratic functions and smoothing surface singularities
  • Torsions of 3-dimensional manifolds
  • The Reidemeister torsion of 3-manifolds
  • Holomorphic disks and genus bounds
  • The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology1
  • On abelian quantum invariants of links in 3-manifolds
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