The author proves, modulo two of her own unpublished preprints, that Teichmüller space has a well-rounded, equivariant deformation retraction onto a complex of dimension 4g-5.
Schmutz-Thurston Duality
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abstract
Two people who pioneered the study of mapping class group-equivariant deformation retractions of Teichm\"uller space of closed compact surfaces are Schmutz Schaller and Thurston. This paper studies how the two different approaches are dual to each other.
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Understanding the well-rounded deformation retraction of Teichm\"uller space
The author proves, modulo two of her own unpublished preprints, that Teichmüller space has a well-rounded, equivariant deformation retraction onto a complex of dimension 4g-5.