3 papers
math.GT2025
Understanding the well-rounded deformation retraction of Teichmüller space
Ingrid Irmer
In [10] it was shown that there is a mapping class group-equivariant deformation retraction of the Teichmüller space of a closed surface onto a CW complex with dimension equal to t…
math.GT2025
Schmutz-Thurston Duality
Ingrid Irmer
Two people who pioneered the study of mapping class group-equivariant deformation retractions of Teichmüller space of closed compact surfaces are Schmutz Schaller and Thurston. Thi…
math.GT2018
Finding simple curves in surface covers is undecidable
Ingrid Irmer
It is shown that various questions about the existence of simple closed curves in normal subgroups of surface groups are undecidable.