Introduction to Teichmüller theory, old and new, IV

Athanase Papadopoulos (1)

1 IRMA - Institut de Recherche Mathématique Avancée

This is an extended introduction to Volume IV of the Handbook of Teichmüller theory. It contains a detailed account of its content, with motivation and background material.

Mots clés: Teichmüller space; moduli space; Weil-Petersson metric; Weil-Petersson Funk metric; Thurston metric; operad; infinite-dimensional Teichmüller space; holomorphic dynamics; holomorphic family; Riemann surface; Teichmüller curve; universal curve; affine structure; deformation space; higher Teichmüller theory; Toldeo invariant; curve complex; arc complex; Tits building; compactification; Thurston boundary; horofunction boundary; Bers boundary; reduced Bers boundary; Lipschitz algebra; quasiconformal mapping; Thurston theorem; quantum Teichmüller space; extremal length; extremal length.

Domaines: Topologie géométrique [math.GT]

Athanase Papadopoulos. Introduction to Teichmüller theory, old and new, IV. Athanase Papadopoulos. Handbook of Teichmüller theory, Vol. IV, European Mathematical Society, pp.1-39, 2014, IRMA Lectures in Mathematics and Theoretical Physics Vol. 19, ⟨10.4171/117-1/1⟩. ⟨hal-01018771⟩