INTERNATIONAL STANDARD BOOK NUMBER
Qualification
(electronic bk.)
Qualification
(electronic bk.)
(Number (ISBN
9783031087059
(Number (ISBN
3031087054
Erroneous ISBN
9783031087042
Erroneous ISBN
3031087046
INTERNATIONAL STANDARD MUSIC NUMBER
(Number (ISMN
10.1007/978-3-031-08705-9
NATIONAL BIBLIOGRAPHY NUMBER
Number
15053
OTHER SYSTEM CONTROL NUMBERS
System Control Number
(OCoLC)1345580913
Cancelled or Invalid Control Number
(OCoLC)1345584490
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Mirzakhani's curve counting and geodesic currents /
First Statement of Responsibility
Viveka Erlandsson, Juan Souto.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham :
Name of Publisher, Distributor, etc.
Birkh�auser,
Date of Publication, Distribution, etc.
[2022]
Date of Publication, Distribution, etc.
�2022.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (xii, 226 pages) :
Other Physical Details
illustrations.
SERIES
Series Title
Progress in mathematics ;
Volume Designation
volume 345.
NOTES PERTAINING TO BINDING AND AVAILABILITY
Text of Note
Available to OhioLINK libraries.
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
SUMMARY OR ABSTRACT
Text of Note
This monograph presents an approachable proof of Mirzakhanis curve counting theorem, both for simple and non-simple curves. Designed to welcome readers to the area, the presentation builds intuition with elementary examples before progressing to rigorous proofs. This approach illuminates new and established results alike, and produces versatile tools for studying the geometry of hyperbolic surfaces, Teichmuller theory, and mapping class groups. Beginning with the preliminaries of curves and arcs on surfaces, the authors go on to present the theory of geodesic currents in detail. Highlights include a treatment of cusped surfaces and surfaces with boundary, along with a comprehensive discussion of the action of the mapping class group on the space of geodesic currents. A user-friendly account of train tracks follows, providing the foundation for radallas, an immersed variation. From here, the authors apply these tools to great effect, offering simplified proofs of existing results and a new, more general proof of Mirzakhanis curve counting theorem. Further applications include counting square-tiled surfaces and mapping class group orbits, and investigating random geometric structures. Mirzakhanis Curve Counting and Geodesic Currents introduces readers to powerful counting techniques for the study of surfaces. Ideal for graduate students and researchers new to the area, the pedagogical approach, conversational style, and illuminating illustrations bring this exciting field to life. Exercises offer opportunities to engage with the material throughout. Basic familiarity with 2-dimensional topology and hyperbolic geometry, measured laminations, and the mapping class group is assumed.
OTHER EDITION IN ANOTHER MEDIUM
Author
Erlandsson, Viveka.
Place of Publication
Cham : Springer, 2022
Title
Mirzakhani's curve counting and geodesic currents.
International Standard Book Number
9783031087042
International Standard Book Number
9783031087042
Bibliographic Record Identifier
(OCoLC)1319076631.
Bibliographic Record Identifier
(OCoLC)1338652988.
TOPICAL NAME USED AS SUBJECT
Entry Element
Curves.
Entry Element
Curves, Algebraic.
(SUBJECT CATEGORY (Provisional
Subject Category Subdivision Code
PBP
Subject Category Subdivision Code
MAT038000
Subject Category Subdivision Code
PBP
System Code
bicssc
System Code
bisacsh
System Code
thema
DEWEY DECIMAL CLASSIFICATION
Number
516
.
3/52
Edition
23/eng/20221004
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA565
Book number
.
E72
2022
PERSONAL NAME - PRIMARY RESPONSIBILITY
Entry Element
Erlandsson, Viveka,
PERSONAL NAME - SECONDARY RESPONSIBILITY
Entry Element
Souto, Juan,
CORPORATE BODY NAME - SECONDARY RESPONSIBILITY
Entry Element
Ohio Library and Information Network.
ORIGINATING SOURCE
Date of Transaction
20230627085003.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier
https://rave.ohiolink.edu/ebooks/ebc2/9783031087059
Uniform Resource Identifier
https://link.springer.com/10.1007/978-3-031-08705-9
Uniform Resource Identifier
http://proxy.ohiolink.edu:9099/login?url=https://link.springer.com/10.1007/978-3-031-08705-9
Public note
Connect to resource
Public note
Connect to resource
Public note
Connect to resource (off-campus)
BL
270410
Y
