Publication: Abelianized obstruction for fixed points of fiber-preserving maps of surface bundles
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Date
2009-06-01
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Coadvisor
Graduate program
Undergraduate course
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Volume Title
Publisher
Juliusz Schauder Ctr Nonlinear Studies
Type
Article
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Acesso restrito
Abstract
Let 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.
Description
Language
English
Citation
Topological Methods In Nonlinear Analysis. Torun: Juliusz Schauder Ctr Nonlinear Studies, v. 33, n. 2, p. 293-305, 2009.
