The Resource A Primer on Mapping Class Groups (PMS-49), Farb, Benson, (electronic resource)

A Primer on Mapping Class Groups (PMS-49), Farb, Benson, (electronic resource)

Label
A Primer on Mapping Class Groups (PMS-49)
Title
A Primer on Mapping Class Groups (PMS-49)
Statement of responsibility
Farb, Benson
Creator
Contributor
Author
Subject
Genre
Language
  • eng
  • eng
Summary
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. A Primer on Mapping Class Groups 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
http://library.link/vocab/creatorName
Farb, Benson
Nature of contents
standards specifications
http://library.link/vocab/relatedWorkOrContributorName
  • Margalit, Dan
  • Safari, an O'Reilly Media Company
http://library.link/vocab/subjectName
  • Mathematics
  • Science
Label
A Primer on Mapping Class Groups (PMS-49), Farb, Benson, (electronic resource)
Link
https://www.safaribooksonline.com/library/view/-/9781400839049/?ar
Instantiates
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
unknown
Edition
1st edition
Extent
512 p.
Form of item
online
Issuing body
Made available through: Safari, an O'Reilly Media Company.
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
9781400839049
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
  • (Sirsi) a274308
  • (Safari)9781400839049
System details
Mode of access: World Wide Web
Label
A Primer on Mapping Class Groups (PMS-49), Farb, Benson, (electronic resource)
Link
https://www.safaribooksonline.com/library/view/-/9781400839049/?ar
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
unknown
Edition
1st edition
Extent
512 p.
Form of item
online
Issuing body
Made available through: Safari, an O'Reilly Media Company.
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
9781400839049
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
  • (Sirsi) a274308
  • (Safari)9781400839049
System details
Mode of access: World Wide Web

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