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)
Resource Information
The item A Primer on Mapping Class Groups (PMS-49), Farb, Benson, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Waubonsee Community College.This item is available to borrow from 1 library branch.
Resource Information
The item A Primer on Mapping Class Groups (PMS-49), Farb, Benson, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Waubonsee Community College.
This item is available to borrow from 1 library branch.
- 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
- Language
-
- eng
- eng
- Edition
- 1st edition
- Extent
- 512 p.
- Label
- A Primer on Mapping Class Groups (PMS-49)
- Title
- A Primer on Mapping Class Groups (PMS-49)
- Statement of responsibility
- Farb, Benson
- 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)
- 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)
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.waubonsee.edu/portal/A-Primer-on-Mapping-Class-Groups-PMS-49-Farb/bicgxO1-rtQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.waubonsee.edu/portal/A-Primer-on-Mapping-Class-Groups-PMS-49-Farb/bicgxO1-rtQ/">A Primer on Mapping Class Groups (PMS-49), Farb, Benson, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.waubonsee.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.waubonsee.edu/">Waubonsee Community College</a></span></span></span></span></div>
