| Home | Teaching | Research | Publications | Vita | Service |
Preprints and Publications
| 1. | Dual homotopy invariants of G-foliations | |
| Thesis, University of Illinois at Urbana-Champaign, May 1980 | ||
| 2. | Dual homotopy invariants of G-foliations |
|
| Topology, 20(4):365--387, 1981. [MR83a:57039] | ||
| 3. | Homotopy invariants of foliations |
|
| (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] | ||
| 4. | On the homotopy and cohomology of the classifying space of Riemannian foliations |
|
| Proc. Amer. Math. Soc. 81 (1981), no. 3, 485--489; [MR82j:57029] | ||
| 5. | On the secondary classes of foliations with trivial normal bundles |
|
| Comment. Math. Helv. 56 (1981), no. 2, 307--326; [MR83g:57017] | ||
| 6. | Growth of leaves and secondary invariants of foliations |
|
| preprint, Princeton University, 1982 | ||
| 7. | Independent rigid secondary classes for holomorphic foliations |
|
| Invent. Math. 66 (1982), no. 2, 313--323; MR 83h:57036 [MR83h:57036] | ||
| 8. | Exotic classes for measured foliations | |
| Bull. Amer. Math. Soc. (N.S.) 7 (1982), no. 2, 389--391; [MR84a:57027] | ||
| 9. | The Godbillon-Vey class for analytic foliations of codimension one |
|
| preprint, Princeton University, 1983 | ||
| 10. | Vanishing of secondary classes for compact foliations | |
| J. London Math. Soc. (2) 28 (1983), no. 1, 175--183; [MR85c:57028] | ||
| 11. | Global invariants for measured foliations |
|
| Trans. Amer. Math. Soc. 280 (1983), no. 1, 367--391; [MR85i:57006] | ||
| 12. | The Weil measures of foliations - a survey and some applications |
|
| preprint, Princeton University, 1983 | ||
| 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] | ||
| 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] | ||
| 15. | The classifying space of smooth foliations | |
| Illinois J. Math. 29 (1985), no. 1, 108--133; [MR86m:57028] | ||
| 16. | Foliation dynamics and leaf invariants |
|
| Comment. Math. Helv. 60 (1985), no. 2, 319--335; [MR88d:57022] | ||
| 17. | Problems on rigidity of group actions and cocycles | |
| Ergodic Theory Dynam. Systems 5 (1985), no. 3, 473--484; [MR87a:58098] | ||
| 18. | The Jacobian cocycle of a distal group action. |
|
| preprint, Math. Sci. Res. Inst., 1985. | ||
| 19. | The Godbillon measure of amenable foliations | |
| J. Differential Geom. 23 (1986), no. 3, 347--365; [MR87m:57030] | ||
| 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] | ||
| 21. | Ergodic theory and Weil measures for foliations |
|
| (with Anatole Katok) | ||
| Ann. of Math. (2) 126 (1987), no. 2, 221--275; [MR89d:57042] | ||
| 22. | The ∂-operator |
|
| Appendix A in Global analysis on foliated spaces by C. C. Moore and C. Schochet, Springer, New York, 1988; [MR89h:58184] | ||
| 23. | Toeplitz operators and the eta invariant: the case of $S^1$ |
|
| (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] | ||
| 24. | Ergodic theory of foliations and a theorem of Sacksteder |
|
| in Dynamical systems (College Park, MD, 1986--87), 291--328, Lecture Notes in Math., 1342, Springer, Berlin, 1988; [MR89k:58155] | ||
| 25. | Spectral theory of foliation geometric operators |
|
| preprint, U.I.C., 1989 | ||
| 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] | ||
| 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] | ||
| 28. | Homotopy characteristic classes of foliations | |
| (with Daniel Lehmann) | ||
| Illinois J. Math. 34 (1990), no. 3, 628--655; [MR91e:57049] | ||
| 29. | Differentiability, rigidity and Godbillon-Vey classes for Anosov flows
|
|
| (with Anatole Katok) | ||
| Inst. Hautes Études Sci. Publ. Math. No. 72 (1990), 5--61 (1991); [MR92b:58179] | ||
| 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] | ||
| 31. | Cyclic cocycles, renormalization and eta-invariants.
|
|
| (with Ronald G. Douglas and Jerome Kaminker) | ||
| Invent. Math. 103 (1991), no. 1, 101--179; [MR91m:58152] | ||
| 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] | ||
| 33. | Exceptional minimal sets of $C^{1+a}$-group actions on the circle
|
|
| Ergodic Theory Dynam. Systems 11 (1991), no. 3, 455--467; [MR93e:58109] | ||
| 34. | The intersection product of transverse invariant measures
|
|
| (with Yoshihiko Mitsumatsu) | ||
| Indiana Univ. Math. J. 40 (1991), no. 4, 1169--1183; [MR93b:58114] | ||
| 35. | Almost Compact Foliations.
|
|
| preprint, U.I.C., 1991 | ||
| 36. | Rigidity for Anosov actions of higher rank lattices
|
|
| Ann. of Math. (2) 135 (1992), no.2, 361--410; [MR93c:22018] | ||
| 37. | Rigidity for Cartan actions of higher rank lattices
|
|
| (with Anatole Katok, Jim Lewis, and Robert J. Zimmer) | ||
| preprint, U.I.C., 1991 | ||
| 38. | Affine Anosov actions
|
|
| Michigan Math. J. 40 (1993), no. 3, 561--575; [MR94g:58165] | ||
| 39. | A product theorem for $\Omega B\Gamma_G$
|
|
| Topology and Its Applications, 50 (1993), no. 1, 81--86; [MR94c:57051] | ||
| 40. | Topology of covers and the spectral theory of geometric operators
|
|
| in Index theory and operator algebras (Boulder, CO, 1991), 87--119, Contemp. Math., 148, Amer. Math. Soc., Providence, RI, 1993; [MR94c:58203] | ||
| 41. | The transverse Euler class for amenable foliations
|
|
| (with Yoshihiko Mitsumatsu) | ||
| preprint, U.I.C., 1993 | ||
| 42. | Exotic theory for foliated spaces
|
|
| preprint, U.I.C., 1993 | ||
| 43. | Topological rigidity of strong stable foliations for Cartan actions
|
|
| Ergodic Theory Dynam. Systems {\bf 14} (1994), no.~1, 151--167; [MR95f:58060] | ||
| 44. | Pure-point spectrum for foliation geometric operators
|
|
| (with Jésus Alvarez Lopez) | ||
| preprint, U.I.C., 1994 | ||
| 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] | ||
| 46. | Transverse Euler classes of foliations on nonatomic foliation cycles
|
|
| (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] | ||
| 47. | A survey of rigidity theory for Anosov actions
|
|
| in Differential topology, foliations, and group actions (Rio de Janeiro, 1992), 143--173, Contemp. Math., 161, Amer. Math. Soc., Providence, RI, 1994; [MR95b:58112] | ||
| 48. | Coarse geometry of foliations
|
|
| in Geometric study of foliations (Tokyo, 1993), 35--96, World Sci. Publishing, River Edge, NJ, 1994; [MR96j:57031] | ||
| 49. | Infinitesimal rigidity for hyperbolic actions
|
|
| J. Differential Geom. 41 (1995), no. 3, 515--527; [MR97f:58098] | ||
| 50. | Exotic index theory and the Novikov conjecture
|
|
| in Novikov conjectures, index theorems and rigidity, Vol. 2 (Oberwolfach, 1993), 255--276, Cambridge Univ. Press, Cambridge, 1995; [MR97g:58165] | ||
| 51. | Manifolds which cannot be leaves of foliations
|
|
| (with Oliver Attie) | ||
| Topology 35 (1996), no. 2, 335--353; [MR96m:57037] | ||
| 52. | Coarse cohomology for families
|
|
| (with James L. Heitsch) | ||
| Illinois Jour. Math. 45 (2001), no. 2, 323--360; [MR2003a:57051] | ||
| 53. | Expansive maps of the circle
|
|
| (with Chris Connell and Alex Furman) | ||
| UIC preprint 2000 | ||
| 54. | Dynamics and the Godbillon-Vey class: a history and survey.
|
|
| in Foliations: geometry and dynamics (Warsaw, 2000), 29--60, World Sci. Publishing, River Edge, NJ, 2002; [MR2003b:37044] | ||
| 55. | Tangential LS category and cohomology for foliations
|
|
| (with Hellen Colman) | ||
| in Foliations: geometry and dynamics (Warsaw, 2000), 29--60, World Sci. Publishing, River Edge, NJ, 2002; [2003m:55003] | ||
| 56. | LS-category of compact Hausdorff foliations
|
|
| (with Hellen Colman) | ||
| Trans. Amer. Math. Soc. 356 (2004), no.~1, 1463--1487. | ||
| 57. | Category and compact leaves
|
|
| Topology and Its Applications 153 (2006), 2135--2154. | ||
| 58. | Foliation Geometry/Topology Problem Set
|
|
| preprint, U.I.C., 2003 | ||
| 59. | Dynamics and the Godbillon-Vey class of $C^1$-foliations
|
|
| (with Remi Langevin) | ||
| UIC preprint 2003, to appear Jour. Differential Geometry | ||
| 60. | Compact foliations with finite transverse category |
|
| (with Pawel Walczak) | ||
| UIC preprint 2004, to appear Tokyo Journal of Math | ||
| 61. | Dynamics of expansive group actions on the circle
|
|
| UIC preprint 2005, to appear Geom. Ded. | ||
| 62. | Exceptional minimal sets and the Godbillon-Vey class
|
|
| UIC preprint 2005, to appear Annales Inst. Fourier | ||
| 63. | Hirsch foliations in codimension greater than one
|
|
| (with Andrzej Bís and Joseph Shive) | ||
| In FOLIATIONS 2005, pages 71--108, World Scientific, 2006. | ||
| 64. | Foliations Lodz 2005 Problem Set
|
|
| In FOLIATIONS 2005, pages 441--475, World Scientific, 2006. | ||
| 65. | FOLIATIONS 2005 | |
| Proceedings Conference held June 14-23, Lodz, Poland | ||
| Editors: Steven Hurder, Remi Langevin , Takashi Tsuboi , Pawel Walczak | ||
| World Scientific, 2006. | ||
| 66. | Transverse LS-category for Riemannian foliations
|
|
| (with Dirk Töben) | ||
| Transactions AMS, to appear (preprint date: October 2006) | ||
| 67. | The equivariant LS-category of polar actions
|
|
| (with Dirk Töben) | ||
| Topology and its Applications, to appear (preprint date: February 2007) | ||
| 68. | Exotic minimal sets for lattice actions | |
| (with Andrzej Bís) | ||
| in preparation, 2007 | ||
| 69. | Polar Foliations and the co-Hopf Property | |
| (with Dirk Töben) | ||
| in preparation, 2007 | ||
| 70. | Embedded solenoids in foliations | |
| (with Alex Clark) | ||
| in preparation, 2007 | ||
| 71. | Markov minimal sets of foliations | |
| (with Andrzej Bís) | ||
| in preparation, 2007 | ||
| 72. | Automorphisms and dynamics of Markov minimal sets and some foliated spaces | |
| (with Andrzej Bís) | ||
| in preparation, 2007 | ||
| 73. | Total chaos in minimal sets | |
| in preparation, 2007 | ||
| 74. | Coarse chaos for open manifolds | |
| in preparation, 2007 | ||
| 80. | Entropy and dynamics of $C^1$-foliations
|
|
| preprint, U.I.C., 2000 (under revision) | ||
Updated November 7, 2007