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Families Of Riemann Surfaces And Weil-petersson Geometry (cbms Regional Conference Series In Mathematics) by Scott A Wolpert; NSF-CBMS Regional Research Conferences on Mathematical Sciences on Families of Riemann Surfaces and Weil-Patersson Geometry is a nonfiction available to read on EtoBox.

What is Families Of Riemann Surfaces And Weil-petersson Geometry (cbms Regional Conference Series In Mathematics) about?

This book is the companion to the CBMS lectures of Scott Wolpert at Central Connecticut State University. The lectures span across areas of research progress on deformations of hyperbolic surfaces and the geometry of the Weil-Petersson metric. The book provides a generally self-contained course for graduate students and postgraduates. The exposition also offers an update for researchers; material not otherwise found in a single reference is included. A unified approach is provided for an array of results. The exposition covers Wolpert's work on twists, geodesic-lengths and the Weil-Petersson symplectic structure; Wolpert's expansions for the metric, its Levi-Civita connection and Riemann tensor. The exposition also covers Brock's twisting limits, visual sphere result and pants graph quasi isometry, as well as the Brock-Masur-Minsky construction of ending laminations for Weil-Petersson geodesics. The rigidity results of Masur-Wolf and Daskalopoulos-Wentworth, following the approach of Yamada, are included. The book concludes with a generally self-contained treatment of the McShane-Mirzakhani length identity, Mirzakhani's volume recursion, approach to Witten-Kontsevich theory by hype

Who reads Families Of Riemann Surfaces And Weil-petersson Geometry (cbms Regional Conference Series In Mathematics)?

Author

Scott A Wolpert; NSF-CBMS Regional Research Conferences on Mathematical Sciences on Families of Riemann Surfaces and Weil-Patersson Geometry

Publisher

Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society

Published

2010

Language

EN

ISBN

9780821849866

Category

nonfiction

Subjects

Mathematics, Stem