A Primer on Mapping Class Groups
by Benson Farb, Dan Margalit
Publisher: Princeton University Press 2011
ISBN/ASIN: 0691147949
ISBN-13: 9780691147949
Number of pages: 509
Description:
Our goal in this book is to explain as many important theorems, examples, and techniques as possible, as quickly and directly as possible, while at the same time giving (nearly) full details and keeping the text (nearly) selfcontained. This book contains some simplifications of known approaches and proofs, the exposition of some results that are not readily available, and some new material as well.
Download or read it online for free here:
Download link
(3.4MB, PDF)
Similar books
The Hauptvermutung Book: A Collection of Papers on the Topology of Manifoldsby A.A. Ranicki, et al, - Springer
The Hauptvermutung is the conjecture that any two triangulations of a polyhedron are combinatorially equivalent. This conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology.
(11283 views)
An Introduction to High Dimensional Knotsby Eiji Ogasa - arXiv
This is an introductory article on high dimensional knots for the beginners. Is there a nontrivial high dimensional knot? We first answer this question. We explain local moves on high dimensional knots and the projections of high dimensional knots.
(8311 views)
Surgical Methods in Rigidityby F.T. Farrell - Springer
This book is an introduction to the topological rigidity theorem for compact non-positively curved Riemannian manifolds. It contains a quick informal account of the background material from surgery theory and controlled topology prerequesite.
(9546 views)
A Geometric Approach to Differential Formsby David Bachman - arXiv
This is a textbook on differential forms. The primary target audience is sophomore level undergraduates enrolled in a course in vector calculus. Later chapters will be of interest to advanced undergraduate and beginning graduate students.
(17974 views)