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Towards the topological classification of geometric 3-manifolds

Manifolds

Part of the Lecture Notes in Mathematics book series (2179,volume 1346)

Keywords

  • Dual Basis
  • Invertible Element
  • Ring Homomorphism
  • Lens Space
  • Homotopy Equivalent

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References

  1. Hendrics H., Laudenbach F. Sciendement d’une equivalence d’homotopie en dimension 3.-Ann.Sci.Ec.Norm.Super., IV Ser. 7(1974), 203–218.

    MATH  Google Scholar 

  2. Jaco W. Lectures on three-manifold topology. — CBMS Reg.Conf.Ser. Math. 43 (1980).

    Google Scholar 

  3. Milnor J. Two complexes which are homeomorphic but combinatorially distinct. — Ann.Math., 74 (1961), 575–590.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Milnor J. Whitehead torsion.-Bull.Amer.Math.Soc., 72 (1966), 358–426.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. Neumann W.D., Raymond F. Seifert manifolds, plumbing, μ-invariant and orientation reversing maps.-Lect.Notes Math., 664 (1977), 163–196.

    CrossRef  MathSciNet  Google Scholar 

  6. Orlik P. Seifert manifolds.-Lect.Notes Math., 291 (1972).

    Google Scholar 

  7. Scott P. The geometries of 3-manifolds.-Bull.London Math.Soc., (2), 15 (1983), 401–487.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Swarup G.A. On a theorem of C.B.Thomas.-J. London Math.Soc., II, Ser. 8 (1974), 13–21.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Thomas C.B. The oriented homotopy type of compact 3-manifolds.-Proc.London Math.Soc., 19 (1967), 31–44.

    MathSciNet  MATH  Google Scholar 

  10. Turaev V.G. Reidemeister torsion and the Alexander polynomial.-Math.USSR, Sb. 30 (1976), 221–237.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. Turaev V.G. Reidemeister torsion in the knot theory.-Usp.Mat. Nauk, 46 (1986), 98–147 (in Russian).

    MathSciNet  MATH  Google Scholar 

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© 1988 Springer-Verlag

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Turaev, V.G. (1988). Towards the topological classification of geometric 3-manifolds. In: Viro, O.Y., Vershik, A.M. (eds) Topology and Geometry — Rohlin Seminar. Lecture Notes in Mathematics, vol 1346. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082780

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  • DOI: https://doi.org/10.1007/BFb0082780

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50237-1

  • Online ISBN: 978-3-540-45958-3

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