Fixed points on trivial surface bundles

Authors

  • D. L. Gonçalves Dept. de Matemática - IME - USP
  • A. K. M. Libardi Departamento de Matemática, I.G.C.E - Unesp - Univ Estadual Paulista
  • D. Penteado Departamento de Matemática, Universidade Federal de São Carlos
  • J. P. Vieira Departamento de Matemática, I.G.C.E - Unesp - Univ Estadual Paulista

Abstract

The main purpose of this work is to study fixed points of fiber preserving maps over $S^1$ on the trivial surface bundles $S^1\times S_2$, where $S_2$ is the closed orientable surface of genus 2. We classify all such maps that can be deformed fiberwise to a fixed point free map.

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Published

2013-06-26

How to Cite

Gonçalves, D. L., Libardi, A. K. M., Penteado, D., & Vieira, J. P. (2013). Fixed points on trivial surface bundles. Transactions of Institute of Mathematics, the NAS of Ukraine, 10(6), 67–85. Retrieved from https://trim.imath.kiev.ua/index.php/trim/article/view/309

Issue

Vol. 10 No. 6 (2013): Brasilian-Polish Topology Workshop

Section

Research papers