Moduli Spaces of Riemann Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Moduli Spaces of Riemann Surfaces write by Benson Farb. This book was released on 2013-08-16. Moduli Spaces of Riemann Surfaces available in PDF, EPUB and Kindle. Mapping class groups and moduli spaces of Riemann surfaces were the topics of the Graduate Summer School at the 2011 IAS/Park City Mathematics Institute. This book presents the nine different lecture series comprising the summer school, covering a selection of topics of current interest. The introductory courses treat mapping class groups and Teichmüller theory. The more advanced courses cover intersection theory on moduli spaces, the dynamics of polygonal billiards and moduli spaces, the stable cohomology of mapping class groups, the structure of Torelli groups, and arithmetic mapping class groups. The courses consist of a set of intensive short lectures offered by leaders in the field, designed to introduce students to exciting, current research in mathematics. These lectures do not duplicate standard courses available elsewhere. The book should be a valuable resource for graduate students and researchers interested in the topology, geometry and dynamics of moduli spaces of Riemann surfaces and related topics. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
Moduli Spaces of Riemann Surfaces
Moduli Spaces of Riemann Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Moduli Spaces of Riemann Surfaces write by Benson Farb. This book was released on 2013. Moduli Spaces of Riemann Surfaces available in PDF, EPUB and Kindle. Mapping class groups and moduli spaces of Riemann surfaces were the topics of the Graduate Summer School at the 2011 IAS/Park City Mathematics Institute. This book presents the nine different lecture series comprising the summer school, covering a selection of topics of current interest. The introductory courses treat mapping class groups and Teichmüller theory. The more advanced courses cover intersection theory on moduli spaces, the dynamics of polygonal billiards and moduli spaces, the stable cohomology of mapping class groups, the structure of Torelli groups, and arithmetic mapping class g.
Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves
Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves write by Lizhen Ji. This book was released on 2017. Introduction to Moduli Spaces of Riemann Surfaces and Tropical Curves available in PDF, EPUB and Kindle.
The Moduli Space of Curves
The Moduli Space of Curves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Moduli Space of Curves write by Robert H. Dijkgraaf. This book was released on 2012-12-06. The Moduli Space of Curves available in PDF, EPUB and Kindle. The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent developments in theoretical physics, in particular in conformal field theory.
Algebraic Curves and Riemann Surfaces
Algebraic Curves and Riemann Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Curves and Riemann Surfaces write by Rick Miranda. This book was released on 1995. Algebraic Curves and Riemann Surfaces available in PDF, EPUB and Kindle. In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical intuition about surfaces, integration, and other concepts can be brought into play. Therefore, many examples of algebraic curves are presented in the first chapters. In this way, the book begins as a primer on Riemann surfaces, with complex charts and meromorphic functions taking centre stage. But the main examples come fromprojective curves, and slowly but surely the text moves toward the algebraic category. Proofs of the Riemann-Roch and Serre Dualtiy Theorems are presented in an algebraic manner, via an adaptation of the adelic proof, expressed completely in terms of solving a Mittag-Leffler problem. Sheaves andcohomology are introduced as a unifying device in the later chapters, so that their utility and naturalness are immediately obvious. Requiring a background of one term of complex variable theory and a year of abstract algebra, this is an excellent graduate textbook for a second-term course in complex variables or a year-long course in algebraic geometry.
