عنوان
پدید آورنده
موضوع
رده
QA360 .F37 2012
QA360
.
F37
2012
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9780691147949 (hardback)
NATIONAL BIBLIOGRAPHY NUMBER
Number
E3610
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
A primer on mapping class groups
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
xvi, 472 p.
Other Physical Details
ill.
SERIES
Series Title
(Princeton mathematical series)
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
SUMMARY OR ABSTRACT
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 Teichmüller 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"--
TOPICAL NAME USED AS SUBJECT
Entry Element
Mappings (Mathematics)
Entry Element
Class groups (Mathematics)
DEWEY DECIMAL CLASSIFICATION
Number
512
.
7/4
Edition
22
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA360
Book number
.
F37
2012
PERSONAL NAME - PRIMARY RESPONSIBILITY
Entry Element
Farb, Benson.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Entry Element
Margalit, Dan,
Dates
1976-
ORIGINATING SOURCE
Country
ایران
Agency
University of Tehran. Library of College of Science
Date of Transaction
20120601202717.0
ELECTRONIC LOCATION AND ACCESS
Date and Hour of Consultation and Access
UT_SCI_BL_DB_1003871_0001.pdf
e
BL
278840
a
Y
