Download PDF by Benson Farb,Dan Margalit: A Primer on Mapping Class Groups (PMS-49) (Princeton

By Benson Farb,Dan Margalit

ISBN-10: 0691147949

ISBN-13: 9780691147949

The learn of the mapping classification team Mod(S) is a classical subject that's experiencing a renaissance. It lies on the juncture of geometry, topology, and staff concept. This ebook explains as many vital theorems, examples, and strategies as attainable, quick and at once, whereas whilst giving complete info and preserving the textual content approximately self-contained. The booklet is appropriate for graduate students.

A Primer on Mapping type Groups starts by means of explaining the most group-theoretical houses of Mod(S), from finite new release through Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. alongside the way in which, valuable items and instruments are brought, resembling the Birman precise series, the advanced of curves, the braid crew, the symplectic illustration, and the Torelli crew. The publication then introduces Teichmüller house and its geometry, and makes use of the motion of Mod(S) on it to end up the Nielsen-Thurston type of floor homeomorphisms. themes contain the topology of the moduli area of Riemann surfaces, the relationship with floor bundles, pseudo-Anosov thought, and Thurston's method of the classification.

Show description

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

Best number theory books

Springer-Handbuch der Mathematik II: Begründet von I.N. by Eberhard Zeidler PDF

Als mehrbändiges Nachschlagewerk ist das Springer-Handbuch der Mathematik in erster Linie für wissenschaftliche Bibliotheken, akademische Institutionen und Firmen sowie interessierte Individualkunden in Forschung und Lehre gedacht. Es ergänzt das einbändige themenumfassende Springer-Taschenbuch der Mathematik (ehemaliger Titel Teubner-Taschenbuch der Mathematik), das sich in seiner begrenzten Stoffauswahl  besonders an Studierende richtet.

Read e-book online L-Functions and Arithmetic (London Mathematical Society PDF

This quantity is an outgrowth of the LMS Durham Symposium on L-functions, held in July 1989. The symposium consisted of a number of brief classes, aimed toward proposing rigorous yet non-technical expositions of the newest examine components, and a couple of person lectures on particular subject matters. The individuals are all remarkable figures within the quarter of algebraic quantity conception and this quantity could be of lasting worth to scholars and researchers operating within the quarter.

New PDF release: Posn(R) and Eisenstein Series (Lecture Notes in Mathematics)

Posn(R) and Eisenstein sequence presents an creation, requiring minimum must haves, to the research on symmetric areas of confident sure genuine matrices in addition to quotients of this area by way of the unimodular workforce of vital matrices. The technique is gifted in very classical phrases and comprises fabric on certain services, particularly gamma and Bessel features, and specializes in definite mathematical points of Eisenstein sequence.

Get Zur Entwicklung des Mengen- und Zahlbegriffs (Kölner PDF

Simeon Schlicht zeigt durch empirische Untersuchungen, dass Kinder den Mengen- und den Zahlbegriff gleichzeitig und in Abhängigkeit voneinander erwerben. In seiner Untersuchung mit Kindern im regulate von three bis four Jahren verwendet der Autor sog. Spielsituationen, die er nach den Regeln der Interaktionsanalyse interpretiert.

Additional 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 William

Rated 4.83 of 5 – based on 44 votes