Algebraic, geometric and differential topology

• Grant number: 00/05385-8
• Support Opportunities: Research Projects - Thematic Grants
• Start date: September 01, 2000
• End date: August 31, 2004
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Daciberg Lima Gonçalves
• Grantee: Daciberg Lima Gonçalves
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Pesquisadores principais: Carlos Biasi ; José Luis Arraut Vergara ; Pedro Luiz Queiroz Pergher
• Associated research grant(s): 03/05620-5 - Elena Kudreavtseva | Moscow State University - Rússia, AV.EXT

Abstract

This project consist in develop research in four areas which are part of geometry/topology. Where there exist activies groups in the state of São Paulo. These groups work in: a) Fix Point and Coincidence Theory; b) Theory of Foliations; c) Bordismo (Z2)k-equivariante and Group Cohomology; d) Topology of the Manifolds, Bordismo and Homotopy Theory. The problem to be studied in each sub-area represents a relevante contribuition. To exemplify, in case a) we have the question of extend the coincidence theory for spaces with different dimension. In case b) to study the actions of R2 to certain maniifolds. In case c) to develop the theory of (Z2)k -equivariant bordism. In case d) to study topological embbedding and monomorphism between vector space. As part of the project is expected to have visitor an mainly that the person of the group can visit other institutions abroad, collaborates, to participate in conference, workshop, etc. providing in this way for good conditions for the development of the project. The people more close related to one projects also of interest of the other group as result of the proximity of the areas. Finally we expect to provide some computer facilities for some people which have need and is notable to obtain in a regular basis from their own institutions. (AU)

Scientific publications

(9)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

GOLASINSKI, MAREK; GONCALVES, DACIBERG LIMA. HOMOTOPY TYPES OF ORBIT SPACES AND THEIR SELF-EQUIVALENCES FOR THE PERIODIC GROUPS Z/a x (Z/b xT(n){*}) AND Z/a x (Z/a x O-n{*}). Journal of Homotopy and Related Structures, v. 1, n. 1, p. 29-45, 2006. (00/05385-8)

BERTOLIM, MARIA ALICE; MELLO, MARGARIDA PINHEIRO; REZENDE, KETTY ABAROA DE. Poincare-Hopf and Morse inequalities for Lyapunov graphs. Ergodic Theory and Dynamical Systems, v. 25, n. 1, p. 1-39, Feb. 2005. (01/04597-4, 02/10246-2, 00/05385-8)

GOLASINSKI‚ M.; GONÇALVES‚ D.L.. On automorphisms of split metacyclic groups. MANUSCRIPTA MATHEMATICA, v. 128, n. 2, p. 251-273, 2009. (00/05385-8)

GONCALVES, DACIBERG L.; ANIZ, CLAUDEMIR. The minimizing of the Nielsen root classes. Central European Journal of Mathematics, v. 2, n. 1, p. 112-122, 2004. (00/05385-8)

GOLASINSKI, MAREK; GONCALVES, DACIBERG LIMA. Automorphism Groups of Generalized (Binary) Icosahedral, Tetrahedral and Octahedral Groups. ALGEBRA COLLOQUIUM, v. 18, n. 3, p. 385-396, SEP 2011. (00/05385-8)

GONCALVES, DACIBERG LIMA; GUASCHI, JOHN. THE LOWER CENTRAL AND DERIVED SERIES OF THE BRAID GROUPS OF THE SPHERE. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v. 361, n. 7, p. 3375-3399, 2009. (00/05385-8)

GONCALVES, DACIBERG; WONG, PETER. Twisted conjugacy classes in nilpotent groups. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, v. 633, p. 11-27, AUG 2009. (00/05385-8)

ARRAUT, J. L.; MAQUERA, CARLOS. Local structural stability of actions of R-n on n-manifolds. BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, v. 24, n. 1-2, p. 10-pg., 2006-01-01. (00/05385-8)

GOLASINSKI, MAREK; GONCALVES, DACIBERG LIMA. HOMOTOPY TYPES OF ORBIT SPACES AND THEIR SELF-EQUIVALENCES FOR THE PERIODIC GROUPS Z/a x (Z/b xT(n)*) AND Z/a x (Z/a x O-n*). JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, v. 1, n. 1, p. 17-pg., 2006-01-01. (00/05385-8)