1 citations · 2 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
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…
Existence and deformability of topological Morse functions
Ingrid Irmer
In the 1950s Morse defined the analogue of Morse functions for topological manifolds. In many instances, when mathematicians are using techniques on topological manifolds that appe…
Small genus, small index critical points of the systole function
Ni An, Ferdinand Ihringer, Ingrid Irmer
In this paper the index of a family of critical points of the systole function on Teichmüller space is calculated. The members of this family are interesting in that their existenc…