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math.GT2026
The Thurston spine and equivariant cell decompositions in genus 2
Ni An, Jiexing Chen, Ingrid Irmer +1
The Thurston spine of the genus 2 Teichmüller space of closed compact surfaces is obtained. In particular, we identify all mapping class group-orbits of filling sets of systoles in…
math.GT2026
The diameter function is a topological Morse function
Ingrid Irmer, Bhola Nath Saha
Schmutz Schaller developed techniques for studying Teichmüller space using the systole function. These were presented in \cite{SchmutzMorse}, \cite{SchmutzVoronoi} as a hyperbolic…