Complex rigidity of Teichmüller spaces
arXiv:1612.06818
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.