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Seminars

On the cohomology ring of the handlebody mapping class group of genus 2

Hold Date
2015-01-16 16:00〜2015-01-16 17:00
Place
Seminar Room 1, Faculty of Mathematics building, Ito Campus
Object person
 
Speaker
Masatoshi SATO (Gifu University)

Abstract:
The handlebody mapping class group of genus 2 acts on a tree introduced by Kramer, and it decomposes into an amalgamated product of two subgroups. Using the Mayer-Vietoris exact sequence, we compute the cohomology ring of this group. We also explain how to calculate the second homology group of the handlebody mapping class group of genus 3 or more.