Some intrinsic coordinates on Teichmüller space

Quantum Teichmüller Space

We describe explicitly a noncommutative deformation of the *-algebra of functions on the Teichmüller space of Riemann surfaces with holes equivariant w.r.t. the mapping class group action.

Dynamics over Teichmüller Space

Fuzzy Subgroups and the Teichmüller Space

There exists a generalization of the Teichmüller space of a covering group. In this paper we combine this generalized Teichmüller space T (G) and any fuzzy subgroup A : G−→ F where G is a subgroup of the group consisting of such orientation preserving and orientation reversing Möbius transformations which act in the upper half-plane of the extended complex plane. A partially ordered set F = (F ...

On the Tangent Space to the Universal Teichmüller Space Subhashis Nag

We find a remarkably simple relationship between the following two models of the tangent space to the Universal Teichmüller Space : (1) The real-analytic model consisting of Zygmund class vector fields on the unit circle; (2) The complex-analytic model comprising 1-parameter families of schlicht functions on the exterior of the unit disc which allow quasiconformal extension. Indeed, the Fourier...

Some intrinsic and extrinsic characterizations of the projective space

The following theorem is proved: The n-th Veronese embedding of P' is the one and only immersion /: X -»P^ where X is a smooth, irreducible r-fold and /n+r\ N=1 j -1. such that the n-th osculating space at every point x of X is all of P .̂ It is also conjectured and verified in some cases-that a smooth, irreducible r-fold X is isomorphic to P*̂ if the anticanonical divisor -K is ample and if eith...