Fixed points on trivial surface bundles

• Datum: 2013
• Hauptverfasser: Gonçalves, D. L., Libardi, A. K. M., Penteado, D., Vieira, J. P.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2013
• Online Zugang: https://trim.imath.kiev.ua/index.php/trim/article/view/309
• Назва журналу: 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.