Automorphisms of Surfaces after Nielsen and Thurston
Abstract
This book, which grew out of Steven Bleiler's lecture notes from a course given by Andrew Casson at the University of Texas, is designed to serve as an introduction to the applications of hyperbolic geometry to low dimensional topology. In particular it provides a concise exposition of the work of Neilsen and Thurston on the automorphisms of surfaces. The reader requires only an understanding of basic topology and linear algebra, while the early chapters on hyperbolic geometry and geometric structures on surfaces can profitably be read by anyone with a knowledge of standard Euclidean geometry desiring to learn more abour other 'geometric structures'.
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By a theorem of Goldman, the pairing determines a symplectic structure on T*Teich(S), and this is the standard symplectic structure on a cotangent bundle.
“By a theorem of Goldman [21], the pairing determines a symplectic structure on T ∗ Teich ( S ), and this is the standard symplectic structure on a cotangent bundle”
From Lorentz spacetimes of constant curvature (2007) · cites this paper as [21]
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Sorted by citations
Lorentz spacetimes of constant curvature
Mess, G. (2007) · Geometriae Dedicata · doi:10.1007/s10711-007-9155-7 · Cited by 278 · see citing works
Lorentz spacetimes of constant curvature
Mess, G. (2007) · arXiv · Cited by 5 · see citing works
- Authors
- Casson, A. J., & Bleiler, S. A.
- Affiliations
- University of California, Berkeley (US)
- University of British Columbia (CA)
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 1988-08-18
- OpenAlex
- W1497934416
- Cited by
- 501
- References
- 0
- Citations by year
- 2026: 3 · 2025: 8 · 2024: 11 · 2023: 12 · 2022: 15 · 2021: 8 · 2020: 19 · 2019: 13 · 2018: 16 · 2017: 11 · 2016: 23 · 2015: 19 · 2014: 25 · 2013: 13 · 2012: 21
- FWCI
- 2.93
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Cambridge University Press eBooks (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Physical Sciences › Mathematics › Mathematical Physics › Mathematical Dynamics and Fractals
- Physical Sciences › Mathematics › Geometry and Topology › Mathematics and Applications
- Keywords
- automorphisms of surfaces, Nielsen-Thurston classification, hyperbolic geometry, low-dimensional topology, Nielsen numbers, Thurston norm, mapping class group
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