×

zbMATH — the first resource for mathematics

Fixed points on trivial surface bundles. (English) Zbl 1313.55002
Summary: 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.
MSC:
55M20 Fixed points and coincidences in algebraic topology
55R10 Fiber bundles in algebraic topology
PDF BibTeX XML Cite