Dynamical Aspects of Teichmüller Theory: SL(2,R)-Action on Moduli Spaces of Flat Surfaces by Carlos Matheus Silva SantosEnglish | PDF,EPUB | 2018 | 132 Pages | ISBN : 3319921584 | 5.64 MB
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 complex content of moduli spaces and Teichmüller Theory.