Number Theory

New PDF release: A Primer on Mapping Class Groups (PMS-49) (Princeton

By Benson Farb,Dan Margalit

ISBN-10: 0691147949

ISBN-13: 9780691147949

The examine of the mapping classification workforce Mod(S) is a classical subject that's experiencing a renaissance. It lies on the juncture of geometry, topology, and crew conception. This publication explains as many vital theorems, examples, and methods as attainable, fast and at once, whereas even as giving complete info and preserving the textual content approximately self-contained. The e-book is acceptable for graduate students.

A Primer on Mapping category Groups starts by way of explaining the most group-theoretical homes of Mod(S), from finite iteration through Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. alongside the way in which, critical items and instruments are brought, equivalent to the Birman specified series, the advanced of curves, the braid workforce, the symplectic illustration, and the Torelli crew. The booklet then introduces Teichmüller area and its geometry, and makes use of the motion of Mod(S) on it to turn out the Nielsen-Thurston class of floor homeomorphisms. themes comprise the topology of the moduli house of Riemann surfaces, the relationship with floor bundles, pseudo-Anosov concept, and Thurston's method of the classification.

Show description

Read or Download A Primer on Mapping Class Groups (PMS-49) (Princeton Mathematical Series) PDF

Similar number theory books

Harold M. Edwards's Divisor Theory PDF

Guy sollte weniger danach streben, die Grenzen der mathe matischen Wissenschaften zu erweitern, als vielmehr danach, den bereits vorhandenen Stoff aus umfassenderen Gesichts punkten zu betrachten - E. research this day such a lot mathematicians who find out about Kronecker's thought of divisors learn about it from having learn Hermann Weyl's lectures on algebraic quantity concept [We], and regard it, as Weyl did, instead to Dedekind's thought of beliefs.

Download e-book for iPad: Geodesic and Horocyclic Trajectories (Universitext) by Françoise Dal'Bo

Geodesic and Horocyclic Trajectories provides an advent to the topological dynamics of 2 classical flows linked to surfaces of curvature −1, specifically the geodesic and horocycle flows. Written essentially with the assumption of highlighting, in a comparatively effortless framework, the lifestyles of gateways among a few mathematical fields, and the benefits of utilizing them, ancient elements of this box aren't addressed and lots of the references are reserved till the top of every bankruptcy within the reviews part.

Hershel M. Farkas,Shaul Zemel's Generalizations of Thomae's Formula for Zn Curves: 21 PDF

Earlier courses at the generalization of the Thomae formulae to Zn curves have emphasised the theory's implications in mathematical physics and depended seriously on utilized mathematical options. This ebook redevelops those earlier effects demonstrating how they are often derived without delay from the elemental houses of theta services as capabilities on compact Riemann surfaces.

Download e-book for iPad: Visuelle Kryptographie (Springer-Lehrbuch) (German Edition) by Andreas Klein

Mit Erfindung der Schrift entstand gleichzeitig der Bedarf, Geschriebenes vor unbefugten Lesern zu verbergen. Als Wissenschaft im modernen Sinne ist die Kryptographie jedoch noch sehr jung. 1994 erfanden Naor und Shamir folgendes Verfahren: Sie verteilten ein Bild so auf zwei Folien, dass auf jeder einzelnen Folie nur ein zufälliges Punktmuster zu sehen ist, aber beide Folien übereinander gelegt ein geheimes Bild ergeben.

Extra resources for A Primer on Mapping Class Groups (PMS-49) (Princeton Mathematical Series)

Example text

Download PDF sample

A Primer on Mapping Class Groups (PMS-49) (Princeton Mathematical Series) by Benson Farb,Dan Margalit


by Robert
4.4

Rated 4.01 of 5 – based on 12 votes