Complex rigidity of Teichmüller spaces

2016/12/14 by Samuel L. Krushkal, Krushkal, Samuel L.
Mathematics · #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1612.06818

openalex publication_date 2016/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We outline old and new results concerning the well-known problems in the Teichmüller space theory, i.e., whether these spaces are starlike in the Bers holomorphic embedding and whether any Teichmüller space of dimension greater than 1 is biholomorhically equivalent to bounded convex domain in a complex Banach space.

Related

• Rigidity of Teichmuller Space
• A rigidity theorem for holomorphic disks in Teichmüller space
• On domains biholomorphic to Teichmüller spaces
• Polygons and non-starlikeness of Teichmuller spaces
• All Teichmuller spaces are not starlike