Periodic points on T - fiber bundles over the circle
The main purppose this work is to study periodic points of fiber-preserving maps on fiber bundles with base circle and fiber torus.
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arXiv subjects
Weslem L. Silva
Publications and source records attributed to Weslem L. Silva.
One-parameter Lefschetz class of homotopies on torus
The main result this paper states that if $F: T \times I \to T$ is a homotopy on torus then the one-parameter Lefschetz class $L(F)$ of $F$ is given by $L(F) = \pm N(F)α$, where $N(F)$ is the one-parameter Nielsen number of $F$ and $α$ is one of the two generators in $H_{1}(π_{1}(T),\mathbb{Z})$.
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Minimal fixed point set of maps on Torus Fiber Bundles over the Circle
The main purpose this work is to study the minimal fixed point set of fiber-preserving maps for spaces which are fiber bundles over the circle and the fiber is the torus. Using the one-parameter fixed point theory is possible to describe these sets in terms of the fundamental group and the induced homomorphism.
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