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Preprints and Publications

1. Dual homotopy invariants of G-foliations
  Thesis, University of Illinois at Urbana-Champaign, May 1980 Abstract History

2. Dual homotopy invariants of G-foliations PDF
  Topology, 20(4):365--387, 1981. [MR83a:57039] Abstract History

3. Homotopy invariants of foliations PDF
  (with Franz W. Kamber)
  In Topology Symposium, Siegen 1979 (Proc. Sympos., Univ. Siegen, Siegen, 1979). Lecture Notes in Math. Vol. 788, pages 49--61. Springer, Berlin, 1980. [MR 82b:57020] Abstract History

4. On the homotopy and cohomology of the classifying space of Riemannian foliations PDF
  Proc. Amer. Math. Soc. 81 (1981), no. 3, 485--489; [MR82j:57029] Abstract History

5. On the secondary classes of foliations with trivial normal bundles PDF
  Comment. Math. Helv. 56 (1981), no. 2, 307--326; [MR83g:57017] Abstract History

6. Growth of leaves and secondary invariants of foliations PDF
  preprint, Princeton University, 1982 Abstract History

7. Independent rigid secondary classes for holomorphic foliations PDF
  Invent. Math. 66 (1982), no. 2, 313--323; MR 83h:57036 [MR83h:57036] Abstract History

8. Exotic classes for measured foliations
  Bull. Amer. Math. Soc. (N.S.) 7 (1982), no. 2, 389--391; [MR84a:57027] Abstract History

9. The Godbillon-Vey class for analytic foliations of codimension one PDF
  preprint, Princeton University, 1983 Abstract History

10. Vanishing of secondary classes for compact foliations
  J. London Math. Soc. (2) 28 (1983), no. 1, 175--183; [MR85c:57028] Abstract History

11. Global invariants for measured foliations PDF
  Trans. Amer. Math. Soc. 280 (1983), no. 1, 367--391; [MR85i:57006] Abstract History

12. The Weil measures of foliations - a survey and some applications PDF
  preprint, Princeton University, 1983 Abstract History

13. Secondary classes, Weil measures and the geometry of foliations.
  (with James L. Heitsch)
  J. Differential Geom. 20 (1984), no. 2, 291--309; MR 86i:57032 [MR86i:57032] Abstract History

14. Secondary classes and transverse measure theory of a foliation
  (with Anatole Katok)
  Bull. Amer. Math. Soc. (N.S.) 11 (1984), no. 2, 347--350; [MR85h:58100] Abstract History

15. The classifying space of smooth foliations
  Illinois J. Math. 29 (1985), no. 1, 108--133; [MR86m:57028] Abstract History

16. Foliation dynamics and leaf invariants PDF
  Comment. Math. Helv. 60 (1985), no. 2, 319--335; [MR88d:57022] Abstract History

17. Problems on rigidity of group actions and cocycles
  Ergodic Theory Dynam. Systems 5 (1985), no. 3, 473--484; [MR87a:58098] Abstract History

18. The Jacobian cocycle of a distal group action. PDF
  preprint, Math. Sci. Res. Inst., 1985. Abstract History

19. The Godbillon measure of amenable foliations
  J. Differential Geom. 23 (1986), no. 3, 347--365; [MR87m:57030] Abstract History

20. The Connes spectrum for actions of abelian groups on continuous-trace algebras
  (with Dorte Olesen, Iain Raeburn, and Jonathan Rosenberg)
  Ergodic Theory Dynam. Systems 6 (1986), no. 4, 541--560; [MR88m:46073] Abstract History

21. Ergodic theory and Weil measures for foliations PDF
  (with Anatole Katok)
  Ann. of Math. (2) 126 (1987), no. 2, 221--275; [MR89d:57042] Abstract History

22. The ∂-operator PDF
  Appendix A in Global analysis on foliated spaces by C. C. Moore and C. Schochet, Springer, New York, 1988; [MR89h:58184] Abstract History

23. Toeplitz operators and the eta invariant: the case of $S^1$ PDF
  (with Ronald G. Douglas and Jerome Kaminker)
  in Index theory of elliptic operators, foliations, and operator algebras (New Orleans, LA/Indianapolis, IN, 1986), 11--41, Contemp. Math., 70, Amer. Math. Soc., Providence, RI, 1988; [MR89j:58132] Abstract History

24. Ergodic theory of foliations and a theorem of Sacksteder PDF
  in Dynamical systems (College Park, MD, 1986--87), 291--328, Lecture Notes in Math., 1342, Springer, Berlin, 1988; [MR89k:58155] Abstract History

25. Spectral theory of foliation geometric operators PDF
  preprint, U.I.C., 1989 Abstract History

26. Eta invariants and von Neumann algebras
  (with Ronald G. Douglas and Jerome Kaminker)
  Bull. Amer. Math. Soc. (N.S.) 21 (1989), no. 1, 83--87; [MR90g:58128] Abstract History

27. Eta invariants and the odd index theorem for coverings
  in Geometric and topological invariants of elliptic operators (Brunswick, ME, 1988), 47--82, Contemp. Math., 105, Amer. Math. Soc., Providence, RI, 1990; [MR91c:58134] Abstract History

28. Homotopy characteristic classes of foliations
  (with Daniel Lehmann)
  Illinois J. Math. 34 (1990), no. 3, 628--655; [MR91e:57049] Abstract History

29. Differentiability, rigidity and Godbillon-Vey classes for Anosov flows PDF
  (with Anatole Katok)
  Inst. Hautes Études Sci. Publ. Math. No. 72 (1990), 5--61 (1991); [MR92b:58179] Abstract History

30. Deformation rigidity for subgroups of SL(n, Z) acting on the n-torus
  Bull. Amer. Math. Soc. (N.S.) 23 (1990), no. 1, 107--113; [MR91c:57048] Abstract History

31. Cyclic cocycles, renormalization and eta-invariants. PDF
  (with Ronald G. Douglas and Jerome Kaminker)
  Invent. Math. 103 (1991), no. 1, 101--179; [MR91m:58152] Abstract History

32. The longitudinal cocycle and the index of Toeplitz operators
  (with Ronald G. Douglas and Jerome Kaminker)
  J. Funct. Anal. 101 (1991), no. 1, 120--144; [MR92k:58266] Abstract History

33. Exceptional minimal sets of $C^{1+a}$-group actions on the circle PDF
  Ergodic Theory Dynam. Systems 11 (1991), no. 3, 455--467; [MR93e:58109] Abstract History

34. The intersection product of transverse invariant measures PDF
  (with Yoshihiko Mitsumatsu)
  Indiana Univ. Math. J. 40 (1991), no. 4, 1169--1183; [MR93b:58114] Abstract History

35. Almost Compact Foliations. PDF
  preprint, U.I.C., 1991 Abstract History

36. Rigidity for Anosov actions of higher rank lattices PDF
  Ann. of Math. (2) 135 (1992), no.2, 361--410; [MR93c:22018] Abstract History

37. Rigidity for Cartan actions of higher rank lattices PDF
  (with Anatole Katok, Jim Lewis, and Robert J. Zimmer)
  preprint, U.I.C., 1991 Abstract History

38. Affine Anosov actions PDF
  Michigan Math. J. 40 (1993), no. 3, 561--575; [MR94g:58165] Abstract History

39. A product theorem for $\Omega B\Gamma_G$ PDF
  Topology and Its Applications, 50 (1993), no. 1, 81--86; [MR94c:57051] Abstract History

40. Topology of covers and the spectral theory of geometric operators PDF
  in Index theory and operator algebras (Boulder, CO, 1991), 87--119, Contemp. Math., 148, Amer. Math. Soc., Providence, RI, 1993; [MR94c:58203] Abstract History

41. The transverse Euler class for amenable foliations PDF
  (with Yoshihiko Mitsumatsu)
  preprint, U.I.C., 1993 Abstract History

42. Exotic theory for foliated spaces PDF
  preprint, U.I.C., 1993 Abstract History

43. Topological rigidity of strong stable foliations for Cartan actions PDF
  Ergodic Theory Dynam. Systems {\bf 14} (1994), no.~1, 151--167; [MR95f:58060] Abstract History

44. Pure-point spectrum for foliation geometric operators PDF
  (with Jésus Alvarez Lopez)
  preprint, U.I.C., 1994 Abstract History

45. Differential topology, foliations, and group actions
  (with Paul A. Schweitzer, Nathan Moreira dos Santos, and José Luis Arraut, editors)
  Contemp. Math., 161, Amer. Math. Soc., Providence, RI, 1994; [MR94j:57003] Abstract History

46. Transverse Euler classes of foliations on nonatomic foliation cycles PDF
  (with Yoshihiko Mitsumatsu)
  in Differential topology, foliations, and group actions (Rio de Janeiro, 1992), 29--39, Contemp. Math., 161, Amer. Math. Soc., Providence, RI, 1994; [MR95e:57049] Abstract History

47. A survey of rigidity theory for Anosov actions PDF
  in Differential topology, foliations, and group actions (Rio de Janeiro, 1992), 143--173, Contemp. Math., 161, Amer. Math. Soc., Providence, RI, 1994; [MR95b:58112] Abstract History

48. Coarse geometry of foliations PDF
  in Geometric study of foliations (Tokyo, 1993), 35--96, World Sci. Publishing, River Edge, NJ, 1994; [MR96j:57031] Abstract History

49. Infinitesimal rigidity for hyperbolic actions PDF
  J. Differential Geom. 41 (1995), no. 3, 515--527; [MR97f:58098] Abstract History

50. Exotic index theory and the Novikov conjecture PDF
  in Novikov conjectures, index theorems and rigidity, Vol. 2 (Oberwolfach, 1993), 255--276, Cambridge Univ. Press, Cambridge, 1995; [MR97g:58165] Abstract History

51. Manifolds which cannot be leaves of foliations PDF
  (with Oliver Attie)
  Topology 35 (1996), no. 2, 335--353; [MR96m:57037] Abstract History

52. Coarse cohomology for families PDF
  (with James L. Heitsch)
  Illinois Jour. Math. 45 (2001), no. 2, 323--360; [MR2003a:57051] Abstract History

53. Expansive maps of the circle PDF
  (with Chris Connell and Alex Furman)
  UIC preprint 2000 Abstract History

54. Dynamics and the Godbillon-Vey class: a history and survey. PDF
  in Foliations: geometry and dynamics (Warsaw, 2000), 29--60, World Sci. Publishing, River Edge, NJ, 2002; [MR2003b:37044] Abstract History

55. Tangential LS category and cohomology for foliations PDF
  (with Hellen Colman)
  in Foliations: geometry and dynamics (Warsaw, 2000), 29--60, World Sci. Publishing, River Edge, NJ, 2002; [2003m:55003] Abstract History

56. LS-category of compact Hausdorff foliations PDF
  (with Hellen Colman)
  Trans. Amer. Math. Soc. 356 (2004), no.~1, 1463--1487. Abstract History

57. Category and compact leaves PDF
  Topology and Its Applications 153 (2006), 2135--2154. Abstract History

58. Foliation Geometry/Topology Problem Set PDF
  preprint, U.I.C., 2003 Abstract History

59. Dynamics and the Godbillon-Vey class of $C^1$-foliations PDF
  (with Remi Langevin)
  UIC preprint 2003, to appear Jour. Differential Geometry Abstract History

60. Compact foliations with finite transverse category PDF
  (with Pawel Walczak)
  UIC preprint 2004, to appear Tokyo Journal of Math Abstract History

61. Dynamics of expansive group actions on the circle PDF
  UIC preprint 2005, to appear Geom. Ded. Abstract History

62. Exceptional minimal sets and the Godbillon-Vey class PDF
  UIC preprint 2005, to appear Annales Inst. Fourier Abstract History

63. Hirsch foliations in codimension greater than one PDF
  (with Andrzej Bís and Joseph Shive)
  In FOLIATIONS 2005, pages 71--108, World Scientific, 2006. Abstract History

64. Foliations Lodz 2005 Problem Set PDF
  In FOLIATIONS 2005, pages 441--475, World Scientific, 2006. Abstract History

65. FOLIATIONS 2005
  Proceedings Conference held June 14-23, Lodz, Poland
  Editors: Steven Hurder, Remi Langevin , Takashi Tsuboi , Pawel Walczak
  World Scientific, 2006. Abstract History

66. Transverse LS-category for Riemannian foliations PDF
  (with Dirk Töben)
  Transactions AMS, to appear (preprint date: October 2006) Abstract History

67. The equivariant LS-category of polar actions PDF
  (with Dirk Töben)
  Topology and its Applications, to appear (preprint date: February 2007) Abstract History

68. Exotic minimal sets for lattice actions
  (with Andrzej Bís)
  in preparation, 2007 Abstract History

69. Polar Foliations and the co-Hopf Property
  (with Dirk Töben)
  in preparation, 2007 Abstract History

70. Embedded solenoids in foliations
  (with Alex Clark)
  in preparation, 2007 Abstract History

71. Markov minimal sets of foliations
  (with Andrzej Bís)
  in preparation, 2007 Abstract History

72. Automorphisms and dynamics of Markov minimal sets and some foliated spaces
  (with Andrzej Bís)
  in preparation, 2007 Abstract History

73. Total chaos in minimal sets
  in preparation, 2007 Abstract History

74. Coarse chaos for open manifolds
  in preparation, 2007 Abstract History

80. Entropy and dynamics of $C^1$-foliations PDF
  preprint, U.I.C., 2000 (under revision) Abstract History


Updated November 7, 2007