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Record Nr. |
UNINA9910300139003321 |
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Autore |
Matheus Silva Santos Carlos |
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Titolo |
Dynamical Aspects of Teichmüller Theory : SL(2,R)-Action on Moduli Spaces of Flat Surfaces / / by Carlos Matheus Silva Santos |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
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ISBN |
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Edizione |
[1st ed. 2018.] |
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Descrizione fisica |
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1 online resource (XIV, 122 p. 28 illus.) |
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Collana |
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Atlantis Studies in Dynamical Systems ; ; 7 |
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Disciplina |
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Soggetti |
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Dynamics |
Ergodic theory |
Algebraic geometry |
Topology |
Dynamical Systems and Ergodic Theory |
Algebraic Geometry |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Introduction -- Proof of the Eskin-Kontsevich-Zorich Regularity Conjecture -- Arithmetic Teichmüller Curves with Complementary Series -- Some Finiteness Results for Algebraically Primitive Teichmüller Curves -- Simplicity of Lyapunov Exponents of Arithmetic Teichmüller Curves -- An Example of Quaternionic Kontsevich-Zorich Monodromy Group. |
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Sommario/riassunto |
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This book is a remarkable contribution to the literature on dynamical systems and geometry. It consists of a selection of work in current research on Teichmüller dynamics, a field that has continued to develop rapidly in the past decades. After a comprehensive introduction, the author investigates the dynamics of the Teichmüller flow, presenting several self-contained chapters, each addressing a different aspect on the subject. The author includes innovative expositions, all the while solving open problems, constructing examples, and supplementing with illustrations. This book is a rare find in the field with its guidance and support for readers through the |
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