Punctured torus groups and 2-bridge knot groups (I)
著者
書誌事項
Punctured torus groups and 2-bridge knot groups (I)
（Lecture notes in mathematics, 1909）
Springer, c2007
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注記
Other authors: Makoto Sakuma, Masaaki Wada, Yasushi Yamashita
Includes bibliographical references (p. [239]-243) and index
内容説明・目次
内容説明
Here is the first part of a work that provides a full account of Jorgensen's theory of punctured torus Kleinian groups and its generalization. It offers 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.
目次
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.
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