This volume is the fifth in a series dedicated to Teichmuller theory in a broad sense, including the study of various deformation spaces and of mapping class group actions.
This volume gives the story and wider context of these decorated Teichmüller spaces as developed by the author over the last two decades in a series of papers, some of them in collaboration.
... curves X (at both finite and infinite primes) are essentially curves that occur in objects Z which are twisted products of the curve plus a copy of R·Fr or Zp ·Fr. In the complex case, Z is H3/Γ∗ (where Γ∗ is the cofinite extension of ...