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Differential Topology, Foliations, and Group Actions
 
Edited by: Paul A. Schweitzer, S.J. Pontificia Universidade Catolica, Rio de Janeiro, Brazil
Steven Hurder University of Illinois, Chicago, Chicago
Nathan Moreira dos Santos Universidade Federal Fluminense, Niteroi, Brazil
Jose’ Luis Arraut USP-ICMSE, Sao Carlos, Brazil
Differential Topology, Foliations, and Group Actions
eBook ISBN:  978-0-8218-7752-4
Product Code:  CONM/161.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Differential Topology, Foliations, and Group Actions
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Differential Topology, Foliations, and Group Actions
Edited by: Paul A. Schweitzer, S.J. Pontificia Universidade Catolica, Rio de Janeiro, Brazil
Steven Hurder University of Illinois, Chicago, Chicago
Nathan Moreira dos Santos Universidade Federal Fluminense, Niteroi, Brazil
Jose’ Luis Arraut USP-ICMSE, Sao Carlos, Brazil
eBook ISBN:  978-0-8218-7752-4
Product Code:  CONM/161.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1611994; 287 pp
    MSC: Primary 57; Secondary 58;

    This volume contains the proceedings of the Workshop on Topology held at the Pontifícia Universidade Católica in Rio de Janeiro in January 1992. Bringing together about one hundred mathematicians from Brazil and around the world, the workshop covered a variety of topics in differential and algebraic topology, including group actions, foliations, low-dimensional topology, and connections to differential geometry. The main concentration was on foliation theory, but there was a lively exchange on other current topics in topology. The volume contains an excellent list of open problems in foliation research, prepared with the participation of some of the top world experts in this area. Also presented here are two surveys on group actions—finite group actions and rigidity theory for Anosov actions—as well as an elementary survey of Thurston's geometric topology in dimensions 2 and 3 that would be accessible to advanced undergraduates and graduate students.

    Readership

    Researchers and graduate students in topology and related fields.

  • Table of Contents
     
     
    • Articles
    • John Cantwell and Lawrence Conlon — Topological obstructions to smoothing proper foliations [ MR 1271824 ]
    • Omegar Calvo-Andrade — Deformations of holomorphic foliations [ MR 1271825 ]
    • Steven Hurder and Yoshihiko Mitsumatsu — Transverse Euler classes of foliations on nonatomic foliation cycles [ MR 1271826 ]
    • Nathan M. dos Santos — Foliated cohomology and characteristic classes [ MR 1271827 ]
    • Rémi Langevin — A list of questions about foliations [ MR 1271828 ]
    • A. G. Aleksandrov — Duality and de Rham complex on singular varieties [ MR 1271829 ]
    • Jean-Paul Brasselet — de Rham theorems for singular varieties [ MR 1271830 ]
    • M. A. S. Ruas — On the equisingularity of families of corank $1$ generic germs [ MR 1271831 ]
    • Alejandro Adem — Cohomology and actions of finite groups [ MR 1271832 ]
    • Steven Hurder — A survey of rigidity theory for Anosov actions [ MR 1271833 ]
    • Nicolau Corção Saldanha — An introduction to geometric topology: geometric structures on manifolds of dimensions $2$ and $3$ [ MR 1271834 ]
    • Duane Randall — On $4$-dimensional bundle theories [ MR 1271835 ]
    • Duane Randall and Paul A. Schweitzer — On foliations, concordance spaces, and the Smale conjectures [ MR 1271836 ]
    • J. J. Nuño Ballesteros and M. C. Romero Fuster — Generic $1$-parameter families of closed space curves [ MR 1271837 ]
    • Johan L. Dupont and Franz W. Kamber — Dependence relations for Cheeger-Chern-Simons invariants of locally symmetric spaces [ MR 1271838 ]
    • Nelza Elisabete Barufatti — Obstructions to immersions of projective Stiefel manifolds [ MR 1271839 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1611994; 287 pp
MSC: Primary 57; Secondary 58;

This volume contains the proceedings of the Workshop on Topology held at the Pontifícia Universidade Católica in Rio de Janeiro in January 1992. Bringing together about one hundred mathematicians from Brazil and around the world, the workshop covered a variety of topics in differential and algebraic topology, including group actions, foliations, low-dimensional topology, and connections to differential geometry. The main concentration was on foliation theory, but there was a lively exchange on other current topics in topology. The volume contains an excellent list of open problems in foliation research, prepared with the participation of some of the top world experts in this area. Also presented here are two surveys on group actions—finite group actions and rigidity theory for Anosov actions—as well as an elementary survey of Thurston's geometric topology in dimensions 2 and 3 that would be accessible to advanced undergraduates and graduate students.

Readership

Researchers and graduate students in topology and related fields.

  • Articles
  • John Cantwell and Lawrence Conlon — Topological obstructions to smoothing proper foliations [ MR 1271824 ]
  • Omegar Calvo-Andrade — Deformations of holomorphic foliations [ MR 1271825 ]
  • Steven Hurder and Yoshihiko Mitsumatsu — Transverse Euler classes of foliations on nonatomic foliation cycles [ MR 1271826 ]
  • Nathan M. dos Santos — Foliated cohomology and characteristic classes [ MR 1271827 ]
  • Rémi Langevin — A list of questions about foliations [ MR 1271828 ]
  • A. G. Aleksandrov — Duality and de Rham complex on singular varieties [ MR 1271829 ]
  • Jean-Paul Brasselet — de Rham theorems for singular varieties [ MR 1271830 ]
  • M. A. S. Ruas — On the equisingularity of families of corank $1$ generic germs [ MR 1271831 ]
  • Alejandro Adem — Cohomology and actions of finite groups [ MR 1271832 ]
  • Steven Hurder — A survey of rigidity theory for Anosov actions [ MR 1271833 ]
  • Nicolau Corção Saldanha — An introduction to geometric topology: geometric structures on manifolds of dimensions $2$ and $3$ [ MR 1271834 ]
  • Duane Randall — On $4$-dimensional bundle theories [ MR 1271835 ]
  • Duane Randall and Paul A. Schweitzer — On foliations, concordance spaces, and the Smale conjectures [ MR 1271836 ]
  • J. J. Nuño Ballesteros and M. C. Romero Fuster — Generic $1$-parameter families of closed space curves [ MR 1271837 ]
  • Johan L. Dupont and Franz W. Kamber — Dependence relations for Cheeger-Chern-Simons invariants of locally symmetric spaces [ MR 1271838 ]
  • Nelza Elisabete Barufatti — Obstructions to immersions of projective Stiefel manifolds [ MR 1271839 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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