Goncalves, Daciberg LimaPenteado, DirceuVieira, João Peres [UNESP]2013-09-302014-05-202013-09-302014-05-202009-06-01Topological Methods In Nonlinear Analysis. Torun: Juliusz Schauder Ctr Nonlinear Studies, v. 33, n. 2, p. 293-305, 2009.1230-3429http://hdl.handle.net/11449/25128Let 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.293-305engFixed pointfiber bundlefiberwise homotopyabelianized obstructionArtigoWOS:000267048300006Acesso restrito8086990485505366