Fixed points on trivial surface bundles over a connected CW-complex
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2015-01-01
Autores
Gonçalves, Daciberg Lima
Libardi, Alice Kimie Miwa [UNESP]
Penteado, Dirceu
Vieira, João Peres [UNESP]
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Resumo
The main purpose of this work is to study fixed points of fibre-preserving maps over a connected CW-complex B on the trivial surface bundles B×S where S is a closed surface of negative Euler characteristic. The case where B = S1 and S is equal to S2, i.e., the closed orientable surface of genus 2, is already known. We classify all such maps that can be deformed fibrewise to a fixed point free map.
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Braids, Fibre bundle, Fibrewise maps and homotopy, Fixed point, Surface
Como citar
Publicationes Mathematicae, v. 87, n. 3-4, p. 371-384, 2015.