Fixed points on trivial surface bundles

• Date: 2013
• Author Affiliations: 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
• Keywords: keywords
• Main Authors: Gonçalves, D. L., Libardi, A. K. M., Penteado, D., Vieira, J. P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/309
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

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.