INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9780691147949 (hardback)
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-52725
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
A primer on mapping class groups
General Material Designation
[Book]
First Statement of Responsibility
/ Benson Farb, Dan Margalit
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Princeton, NJ
Name of Publisher, Distributor, etc.
: Princeton University Press,
Date of Publication, Distribution, etc.
, 2012.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xiv, 472 p. , ill. , 24 cm.
SERIES
Series Title
(Princeton mathematical series)
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
"The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students.The book begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichm?╝ller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification"--Provided by publisher.
TOPICAL NAME USED AS SUBJECT
Mappings (Mathematics)
Class groups (Mathematics)
MATHEMATICS / Advanced, bisacsh
MATHEMATICS / Topology, bisacsh
MATHEMATICS / Geometry / Algebraic, bisacsh
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Farb, Benson.
PERSONAL NAME - SECONDARY RESPONSIBILITY
Margalit, Dan,1976-
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9780691147949.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9780691147949.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
