Abstract
The main result of this paper states that if \(F: T \times I \rightarrow T\) is a homotopy on 2-dimensional torus and \(\pi _{1}(T,x_{0}) = <u,v|[u,v]=1>\), then the one-parameter Lefschetz class L(F) of F is given by
where N(F) is the one-parameter Nielsen number of F, and \(\alpha = [u] \in H_{1}(\pi _{1}(T),\mathbb {Z})\).
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Silva, W.L. One-parameter Lefschetz class of homotopies on torus. J. Fixed Point Theory Appl. 22, 26 (2020). https://doi.org/10.1007/s11784-020-0762-3
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DOI: https://doi.org/10.1007/s11784-020-0762-3