scholarly journals An averaging formula for the coincidence Reidemeister trace

2017 ◽  
Vol 24 (4) ◽  
pp. 591-612 ◽  
Author(s):  
Jong Bum Lee ◽  
P. Christopher Staecker
Keyword(s):  
Reidemeister Trace

scholarly journals Periodic Points and Topological Restriction Homology

2020 ◽  
Author(s):  
Cary Malkiewich ◽  
Kate Ponto
Keyword(s):  
Periodic Points ◽  
Complete Obstruction ◽  
Reidemeister Trace ◽  
Topological Restriction

Abstract We answer in the affirmative two conjectures made by Klein and Williams. First, in a range of dimensions, the equivariant Reidemeister trace defines a complete obstruction to removing $n$-periodic points from a self-map $f$. Second, this obstruction defines a class in topological restriction homology. We prove these results using duality and trace for bicategories. This allows for immediate generalizations, including a corresponding theorem for the fiberwise Reidemeister trace.

A Reidemeister trace for fibred maps

2011 ◽  
Vol 10 (1) ◽  
pp. 113-127
Author(s):  
Davide L. Ferrario
Keyword(s):  
Reidemeister Trace
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