Mimar Sinan Güzel Sanatlar Üniversitesi Matematik Bölümü Seminerleri
Homology classes of lifts of simple curves on surfaces
Ingrid Irmer
METU, Türkiye
The following question has arisen from studying mapping class groups:
Suppose S is a surface and S ̃ is a finite index regular cover of S.
Do the lifts of simple curves from S generate H_1 (\tilde{S} ̃, Z)?
This talk will discuss some of the background to this question, and
explain why the answer to this question is “No” for large complexity
covers.
