We review various aspects of de Sitter spacetime in string theory: its status as an Effective
Field Theory spacetime solution, its relation to the vacuum energy problem in string theory …

The study of 2D shapes and their similarities is a central problem in the field of vision. It
arises in particular from the task of classifying and recognizing objects from their observed …

Precisely two of the homogeneous spaces that appear as coadjoint orbits of the group of
string reparametrizations, Diff (S^ 1)^ 1, carry in a natural way the structure of infinite …

We study a new model Tess of a universal Teichmüller space, which is defined to be the
collection Tess′ of all ideal tesselations of the Poincaré disk (together with a distinguished …

Finding four-dimensional de Sitter spacetime solutions in string theory has been a vexing
quest ever since the discovery of the accelerating expansion of the universe. Building on a …

Quasi-invariance of Brownian measures on the group of circle homeomorphisms and infinite-dimensional
Riemannian geometry Page 1 Journal of Functional Analysis 241 (2006) 99–142 www.elsevier.com/locate/jfa …

Lipman Bers' universal Teichmüller space, classically denoted by T (1), plays a significant
role in Teichmüller theory, because all the Teichmüller spaces T (G) of Fuchsian groups G …

We point out that the coset space Diff S 1/S 1 is a dense complex submanifold of the
Universal Teichmüller Space S of compact Riemann spaces of genus g≧ 1. A holomorphic …

Complex Ricci-flat (ie, Calabi-Yau) hypersurfaces in spaces admitting a maximal (toric) $ U
(1)^ n $ gauge symmetry of general type (encoded by certain non-convex and multi-layered …

Over the past two decades the theory of the Weil–Petersson metric has been extended to
general Teichmüller spaces of infinite type, including for example the universal Teichmüller …