Reidemeister trace and its generalization

Date: 
2016/09/15 Thu 16:00 - 17:00
Room: 
Room 604, Building No.6
Speaker: 
Mitsunobu Tsutaya
Affiliation: 
Kyushu University
Abstract: 

Reidemeister trace was originally studied in the fixed point problem, which was generalized for the coincidence problem of maps between manifolds of the same dimensions. In this talk, we give a construction of the Reidemeister trace for maps between manifolds of arbitrary dimensions, which is realized as a homology class of the homotopy equalizer. In the construction, shriek maps appearing in string topology play an important role. We also give a technique to compute the Reidemeister trace using Serre spectral sequences.