Session 35. Topological fixed point theory and related topics

Fixed point theory for spherical \(3\)-manifolds

Peter Wong, Bates College, USA
The talk is based on the joint work with Daciberg Gonçalves and Xuezhi Zhao
Let \(M\) be a closed \(3\)-manifold with \(S^3\)-geometry and \(f:M\to M\) a self map. We determine the value of \(N(f)\), the Nielsen number of \(f\). If time permits, I will discuss the problem of determining possible degrees of maps between any two such spherical \(3\)-manifolds and application to coincidences.
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