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Punctured Torus Groups and 2-Bridge Knot Groups (I) / by Hirotaka Akiyoshi, Makoto Sakuma, Masaaki Wada, Yasushi Yamashita.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Akiyoshi, Hirotaka, author.
- Sakuma, Makoto, author.
- Wada, Masaaki, 1916-1992, author.
- Yamashita, Yasushi, 1953- author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1909.
- Lecture Notes in Mathematics, 0075-8434 ; 1909
- Language:
- English
- Subjects (All):
- Cell aggregation--Mathematics.
- Cell aggregation.
- Functions of complex variables.
- Group theory.
- Manifolds and Cell Complexes (incl. Diff.Topology).
- Functions of a Complex Variable.
- Group Theory and Generalizations.
- Local Subjects:
- Manifolds and Cell Complexes (incl. Diff.Topology).
- Functions of a Complex Variable.
- Group Theory and Generalizations.
- Physical Description:
- 1 online resource (XLIII, 256 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
- System Details:
- text file PDF
- Summary:
- This monograph is Part 1 of a book project intended to give a full account of Jorgensen's theory of punctured torus Kleinian groups and its generalization, with application to knot theory. Although Jorgensen's original work was not published in complete form, it has been a source of inspiration. In particular, it has motivated and guided Thurston's revolutionary study of low-dimensional geometric topology. In this monograph, we give an elementary and self-contained description of Jorgensen's theory with a complete proof. Through various informative illustrations, readers are naturally led to an intuitive, synthetic grasp of the theory, which clarifies how a very simple fuchsian group evolves into complicated Kleinian groups.
- Contents:
- Jorgensen's picture of quasifuchsian punctured torus groups
- Fricke surfaces and PSL(2, ?)-representations
- Labeled representations and associated complexes
- Chain rule and side parameter
- Special examples
- Reformulation of Main Theorem 1.3.5 and outline of the proof
- Openness
- Closedness
- Algebraic roots and geometric roots.
- Other Format:
- Printed edition:
- ISBN:
- 9783540718079
- Access Restriction:
- Restricted for use by site license.
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