Obstruction theory and coincidences of maps between nilmanifolds |
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| Authors: | Daciberg Gonçalves Peter Wong |
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| Affiliation: | (1) Departamento de Matemática - IME, Universidade de São Paulo, Rua do Matão 1010, Cidade Universitária - CEP 05311-970, São Paulo - SP, Brasil;(2) Department of Mathematics, Bates College, 3 Andrews Road, Hathorn Hall, Lewiston, ME, 04240, U.S.A |
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| Abstract: | Let f, g : M  N be two maps between two compact nilmanifolds with dim M  dim N = n. In this paper, we show that either the Nielsen coincidence number N(f, g) = 0 or N(f, g) = R(f, g) where R(f, g) denotes the Reidemeister number of f and g. Furthermore, we show that if N(f, g) > 0 then the primary obstruction on(f, g) to deforming f and g to be coincidence free on the n-th skeleton of M is non-trivial.Received: 30 April 2004; revised: 20 July 2004 |
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| Keywords: | Primary 55M20 55R20 55T10 Secondary 55S35 |
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