Koç Üniversitesi Matematik Bölümü Seminerleri
A family of curve complexes and Chillingworth's winding numbers
Ingrid Irmer
Middle East Technical University, Türkiye
Curve complexes have traditionally been used to study the mapping class
group of a surface. For the Torelli group, i.e. the subgroup of the mapping class
group that acts trivially on homology, standard techniques do not apply, and
very different style arguments are needed. In this talk, it will be explained how
curve complexes give combinatorial descriptions of the Torelli group invariants
known as Chillingworth's winding numbers.
