Polynomial invariants for fibered 3-manifolds and teichmüller geodesics for foliations

 Access to full text

 Full (PDF)

1. [1] ARNOUX P., YOCCOZ J.-C., Construction de difféomorphismes pseudo-Anosov, C. R. Acad. Sci. Paris 292 (1981) 75-78. Zbl0478.58023MR82b:57018
2. [2] ATIYAH M., MACDONALD I., Commutative Algebra, Addison-Wesley, 1969. MR39 #4129
3. [3] BAUER M., An upper bound for the least dilatation, Trans. Amer. Math. Soc. 330 (1992) 361-370. Zbl0754.57007MR92g:57024
4. [4] BERS L., An extremal problem for quasiconformal maps and a theorem by Thurston, Acta Math. 141 (1978) 73-98. Zbl0389.30018MR57 #16704
5. [5] BESTVINA M., HANDEL M., Train-tracks for surface homeomorphisms, Topology 34 (1995) 109-140. Zbl0837.57010MR96d:57014
6. [6] BIRMAN J.S., Braids, Links and Mapping-Class Groups, Annals of Math. Studies, Vol. 82, Princeton University Press, 1974. Zbl0305.57013MR51 #11477
7. [7] BONAHON F., Geodesic laminations with transverse Hölder distributions, Ann. Sci. École Norm. Sup. 30 (1997) 205-240. Zbl0887.57018MR98b:57027
8. [8] BONAHON F., Transverse Hölder distributions for geodesic laminations, Topology 36 (1997) 103-122. Zbl0871.57027MR97j:57015
9. [9] BRINKMAN P., An implementation of the Bestvina-Handel algorithm for surface homeomorphisms, J. Exp. Math., to appear. Zbl0982.57005
10. [10] BURDE G., ZIESCHANG H., Knots, Walter de Gruyter & Co., 1985. Zbl0568.57001MR87b:57004
11. [11] CANTWELL J., CONLON L., Isotopies of foliated 3-manifolds without holonomy, Adv. Math. 144 (1999) 13-49. Zbl0934.57033MR2000c:57060
12. [12] CONNES A., Noncommutative Geometry, Academic Press, 1994. Zbl0818.46076MR95j:46063
13. [13] COOPER D., LONG D.D., REID A.W., Finite foliations and similarity interval exchange maps, Topology 36 (1997) 209-227. Zbl0873.57023MR97j:57032
14. [14] DUNFIELD N., Alexander and Thurston norms of fibered 3-manifolds, Preprint, 1999. 
15. [15] FATHI A., Démonstration d'un théorème de Penner sur la composition des twists de Dehn, Bull. Sci. Math. France 120 (1992) 467-484. Zbl0779.57005MR93j:57005
16. [16] FATHI A., LAUDENBACH F., POÉNARU V., Travaux de Thurston sur les Surfaces, Astérisque, Vol. 66-67, 1979. MR82m:57003
17. [17] FRIED D., Fibrations over S1 with pseudo-Anosov monodromy, in : Travaux de Thurston sur les Surfaces, Astérisque, Vol. 66-67, 1979, pp. 251-265. Zbl0446.57023
18. [18] FRIED D., Flow equivalence, hyperbolic systems and a new zeta function for flows, Comment. Math. Helvetici 57 (1982) 237-259. Zbl0503.58026MR84g:58083
19. [19] FRIED D., The geometry of cross sections to flows, Topology 21 (1982) 353-371. Zbl0594.58041MR84d:58068
20. [20] FRIED D., Growth rate of surface homeomorphisms and flow equivalence, Ergod. Theory Dynamical Syst. 5 (1985) 539-564. Zbl0603.58020MR88f:58118
21. [21] GABAI D., Foliations and the topology of 3-manifolds, J. Differential Geom. 18 (1983) 445-503. Zbl0533.57013MR86a:57009
22. [22] GABAI D., Foliations and genera of links, Topology 23 (1984) 381-394. Zbl0567.57021MR86h:57006
23. [23] GANTMACHER F.R., The Theory of Matrices, Vol. II, Chelsea, New York, 1959. Zbl0085.01001
24. [24] HARER J.L., PENNER R.C., Combinatorics of Train Tracks, Annals of Math. Studies, Vol. 125, Princeton University Press, 1992. Zbl0765.57001MR94b:57018
25. [25] HATCHER A., OERTEL U., Affine lamination spaces for surfaces, Pacific J. Math. 154 (1992) 87-101. Zbl0772.57032MR93b:57033
26. [26] HUBBARD J., MASUR H., Quadratic differentials and foliations, Acta Math. 142 (1979) 221-274. Zbl0415.30038MR80h:30047
27. [27] KRONHEIMER P., MROWKA T., Scalar curvature and the Thurston norm, Math. Res. Lett. 4 (1997) 931-937. Zbl0892.57011MR98m:57039
28. [28] LANG S., Algebra, Addison-Wesley, 1984. Zbl0712.00001
29. [29] LAUDENBACH F., BLANK S., Isotopie de formes fermées en dimension trois, Invent. Math. 54 (1979) 103-177. Zbl0435.58002MR81d:58003
30. [30] LIND D., MARCUS B., An Introduction to Symbolic Dynamics and Coding, Cambridge University Press, 1995. Zbl1106.37301MR97a:58050
31. [31] LONG D., OERTEL U., Hyperbolic surface bundles over the circle, in : Progress in Knot Theory and Related Topics, Travaux en Cours, Vol. 56, Hermann, 1997, pp. 121-142. Zbl0959.57019MR98m:57022
32. [32] MATSUMOTO S., 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. Zbl0647.57006MR89c:57011
33. [33] MCMULLEN C., The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology, Preprint, 1998. 
34. [34] MOSHER L., Surfaces and branched surfaces transverse to pseudo-Anosov flows on 3-manifolds, J. Differential Geom. 34 (1991) 1-36. Zbl0754.58031MR92k:57029
35. [35] NGÔ V.Q., ROUSSARIE R., Sur l'isotopie des formes fermées en dimension 3, Invent. Math. 64 (1981) 69-87. Zbl0467.58004MR83b:58006
36. [36] NORTHCOTT D.G., Finite Free Resolutions, Cambridge University Press, 1976. Zbl0328.13010MR57 #377
37. [37] OERTEL U., 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. Zbl0628.57011MR89e:57011
38. [38] OERTEL U., Affine laminations and their stretch factors, Pacific J. Math. 182 (1998) 303-328. Zbl0909.57008MR99i:57037
39. [39] PENNER R., A construction of pseudo-Anosov homeomorphisms, Trans. Amer. Math. Soc. 310 (1988) 179-198. Zbl0706.57008MR89k:57026
40. [40] PENNER R., Bounds on least dilatations, Proc. Amer. Math. Soc. 113 (1991) 443-450. Zbl0726.57013MR91m:57010
41. [41] ROLFSEN D., Knots and Links, Publish or Perish, Inc., 1976. Zbl0339.55004MR58 #24236
42. [42] THURSTON W.P., Geometry and Topology of Three-Manifolds, Lecture Notes, Princeton University, 1979. 
43. [43] THURSTON W.P., A norm for the homology of 3-manifolds, Mem. Amer. Math. Soc. 339 (1986) 99-130. Zbl0585.57006MR88h:57014
44. [44] THURSTON W.P., On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. 19 (1988) 417-432. Zbl0674.57008MR89k:57023
45. [45] THURSTON W.P., Three-manifolds, foliations and circles, I, Preprint, 1997. 
46. [46] YOCCOZ J.-C., Petits Diviseurs en Dimension 1, Astérisque, Vol. 231, 1995. Zbl0836.30001MR96f:58005
47. [47] ZHIROV A. YU., On the minimum dilation of pseudo-Anosov diffeomorphisms of a double torus, Uspekhi Mat. Nauk 50 (1995) 197-198. Zbl0847.58057MR96e:58123

1. Curtis T. McMullen, The Alexander polynomial of a 3-manifold and the Thurston norm on cohomology