A glimpse into Thurston's work
Résumé
We present an overview of some significant results of Thurston and their impact on mathematics. The final version of this paper will appear as Chapter 1 of the book ``In the tradition of Thurston: Geometry and topology", edited by K. Ohshika and A. Papadopoulos (Springer, 2020).
Mots clés
foliation
contact structure
symplectic structure
conformal geometry
holomorphic motion
Kleinian groups
circle packing
automatic groups
tiling
mapping class groups
Teichmüller space
fashion design
linkage
Anti-de Sitter geometry
higher Teichmüller theory
Grothendieck-Thurston theory
asymmetric metric
Schwarzian derivative
computer science
Ehrenpreis conjecture
transitional geometry
3-manifolds
geometric structures
(G
X)-structures
Dehn surgery
hyperbolic geometry
Thurston norm
Smith conjecture
Cannon-Thurston map
discrete conformal geometry
discrete Riemann mapping theorem AMS codes
discrete Riemann mapping theorem AMS codes 57N10
57M50
20F34
20F65
22E40
30F20
32G15
30F60
30F45
37D40
57M25
53A40
57D30
58D05
57A35
00A30
01A60
20F10
68Q70
57M05
57M07
57Q15
57D15
58A10
58F10
65Y25
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