ABELIANIZED OBSTRUCTION FOR FIXED POINTS OF FIBER-PRESERVING MAPS OF SURFACE BUNDLES

dc.creatorGONCALVES, Daciberg Lima
dc.creatorPENTEADO, Dirceu
dc.creatorVIEIRA, Joao Peres
dc.date.accessioned2012-10-20T04:50:12Z
dc.date.accessioned2018-07-04T15:46:38Z
dc.date.available2012-10-20T04:50:12Z
dc.date.available2018-07-04T15:46:38Z
dc.date.created2012-10-20T04:50:12Z
dc.date.issued2009
dc.identifierTOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v.33, n.2, p.293-305, 2009
dc.identifier1230-3429
dc.identifierhttp://producao.usp.br/handle/BDPI/30587
dc.identifierhttp://apps.isiknowledge.com/InboundService.do?Func=Frame&product=WOS&action=retrieve&SrcApp=EndNote&UT=000267048300006&Init=Yes&SrcAuth=ResearchSoft&mode=FullRecord
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1627226
dc.description.abstractLet f: M -> M be a fiber-preserving map where S -> M -> B is a bundle and S is a closed surface. We study the abelianized obstruction, which is a cohomology class in dimension 2, to deform f to a fixed point free map by a fiber-preserving homotopy. The vanishing of this obstruction is only a necessary condition in order to have such deformation, but in some cases it is sufficient. We describe this obstruction and we prove that the vanishing of this class is equivalent to the existence of solution of a system of equations over a certain group ring with coefficients given by Fox derivatives.
dc.languageeng
dc.publisherJULIUSZ SCHAUDER CTR NONLINEAR STUDIES
dc.relationTopological Methods in Nonlinear Analysis
dc.rightsCopyright JULIUSZ SCHAUDER CTR NONLINEAR STUDIES
dc.rightsclosedAccess
dc.subjectFixed point
dc.subjectfiber bundle
dc.subjectfiberwise homotopy
dc.subjectabelianized obstruction
dc.titleABELIANIZED OBSTRUCTION FOR FIXED POINTS OF FIBER-PRESERVING MAPS OF SURFACE BUNDLES
dc.typeArtículos de revistas


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