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This book offers an easy and compact access to the theory of TeichmA1/4ller spaces,
starting from the most elementary aspects to the most recent developments, eg the role this …

Let G be a split semisimple algebraic group over Q with trivial center. Let S be a compact
oriented surface, with or without boundary. We define positive representations of the …

A.–A cluster ensemble is a pair (X, A) of positive spaces (ie varieties equipped
with positive atlases), coming with an action of a symmetry group Γ. The space A is closely …

Certain two dimensional topological field theories can be interpreted as string theory
backgrounds in which the usual decoupling of ghosts and matter does not hold. Like …

Abstract CONTENTS Introduction § 1. Complexes of curves and families of functions § 2.
Singularities and non-degeneracy of functions § 3. Some variants of the complex of curves § …

The space of stability structures, Stab (C), of a triangulated category C was introduced in
seminal work of Bridgeland [11] based on a proposal of MR Douglas on D-branes in super …