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Original Articles

Computing Triangulations of Mapping Tori of Surface Homeomorphisms

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Pages 571-581 | Published online: 04 Apr 2012

REFERENCES

  • A'Campo , N. 1998 . “Planar trees, slalom curves and hyperbolic knots” . Inst. Hautes Études Sci. Publ. Math. , 88 : 171 – 180 . [A'Campo 1998]
  • Bestvina , M. and Handel , M. 1992 . “Train tracks and automorphisms of free groups” . Ann. of Math. (2) , 135 ( 1 ) : 1 – 51 . [Bestvina and Handel 1992]
  • Brinkmann , P. 2000 . “An implementation of the Bestvina–Handel algorithm for surface homeomorphisms” . Experiment. Math. , 9 ( 2 ) : 235 – 240 . [Brinkmann 2000]
  • Burde , G. and Zieschang , H. 1985 . Knots Berlin : de Gruyter. . [Burde and Zieschang 1985]
  • Hemion , G. 1979 . “On the classification of homeomorphisms of 2-manifolds and the classification of 3-manifolds” . Acta Math. , 142 ( 1–2 ) : 123 – 155 . [Hemion 1979]
  • Johannson , K. 1979 . Homotopy equivalences of 3-manifolds with boundaries Berlin : Springer. . [Johannson 1979]
  • Lickorish , W. B. R. 1964 . “A finite set of generators for the homeotopy group of a 2-manifold” . Proc. Cambridge Philos. Soc. , 60 : 769 – 778 . [Lickorish 1964]
  • Lyndon , R. C. and Schupp , P. E. 1977 . Combinatorial group theory Berlin : Springer. . [Lyndon and Schupp 1977], Ergebnisse der Math. 89
  • Mosher , L. 1986 . “The classification of pseudo-Anosovs”. ” . In Low-dimensional topology and Kleinian groups (Coventry/Durham, 1984) Edited by: Epstein , D. B. A. 13 – 75 . Cambridge : Cambridge Univ. Press. . [Mosher 1986], London Math. Soc. Lecture Notes Series 112
  • Stallings , J. R. 1983 . “Topology of finite graphs” . Invent. Math. , 71 ( 3 ) : 551 – 565 . [Stallings 1983]
  • Thurston , W. P. 1986 . “Hyperbolic structures on 3-manifolds, II: Surface groups and 3-manifolds which fiber over the circle” [Thurston 1986a], preprint, See http://www.arxiv.org/abs/math.GT/9801045
  • Thurston , W. P. 1986 . A norm for the homology of 3-manifolds Providence , RI : Amer. Math. Soc. . [Thurston 1986b], Mem. Amer. Math. Soc. 339
  • Thurston , W. P. 1997 . Three-dimensional geometry and topology vol. 1 , Princeton , NJ : Princeton Univ. Press. . [Thurston 1997]
  • Waldhausen , F. 1968 . “On irreducible 3-manifolds which are sufficiently large” . Ann. of Math. (2) , 87 : 56 – 88 . [Waldhausen 1968]
  • Weeks , J. R. 1993 . “SnapPea” [Weeks 1993], software, Available at http://www.northnet.org/weeks/index/SnapPea.html

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