@article{ASENS_2000_4_33_4_519_0, author = {McMullen, Curtis T.}, title = {Polynomial invariants for fibered 3-manifolds and teichm\"uller geodesics for foliations}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {519--560}, publisher = {Elsevier}, volume = {Ser. 4, 33}, number = {4}, year = {2000}, doi = {10.1016/s0012-9593(00)00121-x}, mrnumber = {2002d:57015}, zbl = {01702167}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/s0012-9593(00)00121-x/} }
TY - JOUR AU - McMullen, Curtis T. TI - Polynomial invariants for fibered 3-manifolds and teichmüller geodesics for foliations JO - Annales scientifiques de l'École Normale Supérieure PY - 2000 SP - 519 EP - 560 VL - 33 IS - 4 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/s0012-9593(00)00121-x/ DO - 10.1016/s0012-9593(00)00121-x LA - en ID - ASENS_2000_4_33_4_519_0 ER -
%0 Journal Article %A McMullen, Curtis T. %T Polynomial invariants for fibered 3-manifolds and teichmüller geodesics for foliations %J Annales scientifiques de l'École Normale Supérieure %D 2000 %P 519-560 %V 33 %N 4 %I Elsevier %U http://archive.numdam.org/articles/10.1016/s0012-9593(00)00121-x/ %R 10.1016/s0012-9593(00)00121-x %G en %F ASENS_2000_4_33_4_519_0
McMullen, Curtis T. Polynomial invariants for fibered 3-manifolds and teichmüller geodesics for foliations. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 33 (2000) no. 4, pp. 519-560. doi : 10.1016/s0012-9593(00)00121-x. http://archive.numdam.org/articles/10.1016/s0012-9593(00)00121-x/
[1] Construction de difféomorphismes pseudo-Anosov, C. R. Acad. Sci. Paris 292 (1981) 75-78. | MR | Zbl
, ,[2] Commutative Algebra, Addison-Wesley, 1969. | MR
, ,[3] An upper bound for the least dilatation, Trans. Amer. Math. Soc. 330 (1992) 361-370. | MR | Zbl
,[4] An extremal problem for quasiconformal maps and a theorem by Thurston, Acta Math. 141 (1978) 73-98. | MR | Zbl
,[5] Train-tracks for surface homeomorphisms, Topology 34 (1995) 109-140. | MR | Zbl
, ,[6] Braids, Links and Mapping-Class Groups, Annals of Math. Studies, Vol. 82, Princeton University Press, 1974. | MR | Zbl
,[7] Geodesic laminations with transverse Hölder distributions, Ann. Sci. École Norm. Sup. 30 (1997) 205-240. | Numdam | MR | Zbl
,[8] Transverse Hölder distributions for geodesic laminations, Topology 36 (1997) 103-122. | MR | Zbl
,[9] An implementation of the Bestvina-Handel algorithm for surface homeomorphisms, J. Exp. Math., to appear. | Zbl
,[10] Knots, Walter de Gruyter & Co., 1985. | MR | Zbl
, ,[11] Isotopies of foliated 3-manifolds without holonomy, Adv. Math. 144 (1999) 13-49. | MR | Zbl
, ,[12] Noncommutative Geometry, Academic Press, 1994. | MR | Zbl
,[13] Finite foliations and similarity interval exchange maps, Topology 36 (1997) 209-227. | MR | Zbl
, , ,[14] Alexander and Thurston norms of fibered 3-manifolds, Preprint, 1999.
,[15] Démonstration d'un théorème de Penner sur la composition des twists de Dehn, Bull. Sci. Math. France 120 (1992) 467-484. | Numdam | MR | Zbl
,[16] Travaux de Thurston sur les Surfaces, Astérisque, Vol. 66-67, 1979. | MR
, , ,[17] Fibrations over S1 with pseudo-Anosov monodromy, in : Travaux de Thurston sur les Surfaces, Astérisque, Vol. 66-67, 1979, pp. 251-265. | Numdam | Zbl
,[18] Flow equivalence, hyperbolic systems and a new zeta function for flows, Comment. Math. Helvetici 57 (1982) 237-259. | MR | Zbl
,[19] The geometry of cross sections to flows, Topology 21 (1982) 353-371. | MR | Zbl
,[20] Growth rate of surface homeomorphisms and flow equivalence, Ergod. Theory Dynamical Syst. 5 (1985) 539-564. | MR | Zbl
,[21] Foliations and the topology of 3-manifolds, J. Differential Geom. 18 (1983) 445-503. | MR | Zbl
,[22] Foliations and genera of links, Topology 23 (1984) 381-394. | MR | Zbl
,[23] The Theory of Matrices, Vol. II, Chelsea, New York, 1959.
,[24] Combinatorics of Train Tracks, Annals of Math. Studies, Vol. 125, Princeton University Press, 1992. | MR | Zbl
, ,[25] Affine lamination spaces for surfaces, Pacific J. Math. 154 (1992) 87-101. | MR | Zbl
, ,[26] Quadratic differentials and foliations, Acta Math. 142 (1979) 221-274. | MR | Zbl
, ,[27] Scalar curvature and the Thurston norm, Math. Res. Lett. 4 (1997) 931-937. | MR | Zbl
, ,[28] Algebra, Addison-Wesley, 1984. | Zbl
,[29] Isotopie de formes fermées en dimension trois, Invent. Math. 54 (1979) 103-177. | MR | Zbl
, ,[30] An Introduction to Symbolic Dynamics and Coding, Cambridge University Press, 1995. | MR | Zbl
, ,[31] Hyperbolic surface bundles over the circle, in : Progress in Knot Theory and Related Topics, Travaux en Cours, Vol. 56, Hermann, 1997, pp. 121-142. | MR | Zbl
, ,[32] Topological entropy and Thurston's norm of atoroidal surface bundles over the circle, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 34 (1987) 763-778. | MR | Zbl
,[33] The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology, Preprint, 1998.
,[34] Surfaces and branched surfaces transverse to pseudo-Anosov flows on 3-manifolds, J. Differential Geom. 34 (1991) 1-36. | MR | Zbl
,[35] Sur l'isotopie des formes fermées en dimension 3, Invent. Math. 64 (1981) 69-87. | MR | Zbl
, ,[36] Finite Free Resolutions, Cambridge University Press, 1976. | MR | Zbl
,[37] Homology branched surfaces : Thurston's norm on H2(M³), in : Epstein D.B. (Ed.), Low-Dimensional Topology and Kleinian Groups, Cambridge Univ. Press, 1986, pp. 253-272. | MR | Zbl
,[38] Affine laminations and their stretch factors, Pacific J. Math. 182 (1998) 303-328. | MR | Zbl
,[39] A construction of pseudo-Anosov homeomorphisms, Trans. Amer. Math. Soc. 310 (1988) 179-198. | MR | Zbl
,[40] Bounds on least dilatations, Proc. Amer. Math. Soc. 113 (1991) 443-450. | MR | Zbl
,[41] Knots and Links, Publish or Perish, Inc., 1976. | MR | Zbl
,[42] Geometry and Topology of Three-Manifolds, Lecture Notes, Princeton University, 1979.
,[43] A norm for the homology of 3-manifolds, Mem. Amer. Math. Soc. 339 (1986) 99-130. | MR | Zbl
,[44] On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. 19 (1988) 417-432. | MR | Zbl
,[45] Three-manifolds, foliations and circles, I, Preprint, 1997.
,[46] Petits Diviseurs en Dimension 1, Astérisque, Vol. 231, 1995. | Numdam | MR | Zbl
,[47] On the minimum dilation of pseudo-Anosov diffeomorphisms of a double torus, Uspekhi Mat. Nauk 50 (1995) 197-198. | MR | Zbl
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