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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