Titlebook: In the Tradition of Thurston II; Geometry and Groups Ken’ichi Ohshika,Athanase Papadopoulos Book 2022 The Editor(s) (if applicable) and The

CREST

A Survey of Complex Hyperbolic Kleinian Groups,bolic manifolds and the theory of discrete groups. We present a number of examples and basic results about complex-hyperbolic Kleinian groups. The appendix to the paper written by Mohan Ramachandran includes a proof of a result known as “Burns’ Theorem” about ends of complex-hyperbolic manifolds.

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上釉彩

A Survey of the Thurston Norm,written in 1976 and published in 1986). We first review fundamental properties of the Thurston norm of a 3-manifold, including a construction of codimension-1 taut foliations from norm-minimizing embedded surfaces, established by D. Gabai. In the main part we describe relationships between the Thurs

MUTED

From Hyperbolic Dehn Filling to Surgeries in Representation Varieties,cture on a 3-manifold. Moreover, one can obtain examples of non-Haken manifolds without the use of Thurston’s Uniformization Theorem. We review these gluing techniques and present a logical continuity between these ideas and gluing methods for Higgs bundles. We demonstrate how one can construct cert

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緩解

Signature Calculation of the Area Hermitian Form on Some Spaces of Polygons,metrization of the moduli space of singular flat metrics on the sphere with prescribed positive curvature data at the singular points by a complex hyperbolic space of an appropriate dimension. This work can be considered as a generalization of the signature calculation of the Hermitian form that he

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insincerity

A Classification of Postcritically Finite Newton Maps,ion of polynomials and some approachable one-parameter families of rational maps; the goal of finding a classification of general rational maps is so far elusive. Newton maps (rational maps that arise when applying Newton’s method to a polynomial) form a most natural family to be studied from the dy

parsimony

The Development of the Theory of Automatic Groups,and combable groups, derive basic properties, then explain how hyperbolic groups and the groups of compact 3-manifolds based on six of Thurston’s eight geometries can be proved automatic. We describe software developed in Warwick to compute automatic structures, as well as the development of practic

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