The Resource Punctured Torus Groups and 2-Bridge Knot Groups (I), by Hirotaka Akiyoshi, Makoto Sakuma, Masaaki Wada, Yasushi Yamashita, (electronic resource)

Punctured Torus Groups and 2-Bridge Knot Groups (I), by Hirotaka Akiyoshi, Makoto Sakuma, Masaaki Wada, Yasushi Yamashita, (electronic resource)

Label
Punctured Torus Groups and 2-Bridge Knot Groups (I)
Title
Punctured Torus Groups and 2-Bridge Knot Groups (I)
Statement of responsibility
by Hirotaka Akiyoshi, Makoto Sakuma, Masaaki Wada, Yasushi Yamashita
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
This monograph is Part 1 of a book project intended to give a full account of Jorgensen's theory of punctured torus Kleinian groups and its generalization, with application to knot theory. Although Jorgensen's original work was not published in complete form, it has been a source of inspiration. In particular, it has motivated and guided Thurston's revolutionary study of low-dimensional geometric topology. In this monograph, we give an elementary and self-contained description of Jorgensen's theory with a complete proof. Through various informative illustrations, readers are naturally led to an intuitive, synthetic grasp of the theory, which clarifies how a very simple fuchsian group evolves into complicated Kleinian groups
Member of
Is Subseries of
http://library.link/vocab/creatorName
Akiyoshi, Hirotaka
Dewey number
515.93
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • haKuYQZyAz0
  • ThrwPML35Tw
  • fI43U6mGw-Y
  • L8hCF3esTBc
Language note
English
LC call number
  • QA613-613.8
  • QA613.6-613.66
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Sakuma, Makoto.
  • Wada, Masaaki.
  • Yamashita, Yasushi.
Series statement
Lecture Notes in Mathematics,
Series volume
1909
http://library.link/vocab/subjectName
  • Cell aggregation
  • Functions of complex variables
  • Group theory
  • Manifolds and Cell Complexes (incl. Diff.Topology)
  • Functions of a Complex Variable
  • Group Theory and Generalizations
Label
Punctured Torus Groups and 2-Bridge Knot Groups (I), by Hirotaka Akiyoshi, Makoto Sakuma, Masaaki Wada, Yasushi Yamashita, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [239]-243) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Jorgensen's picture of quasifuchsian punctured torus groups -- Fricke surfaces and PSL(2, ?)-representations -- Labeled representations and associated complexes -- Chain rule and side parameter -- Special examples -- Reformulation of Main Theorem 1.3.5 and outline of the proof -- Openness -- Closedness -- Algebraic roots and geometric roots
Dimensions
unknown
Edition
1st ed. 2007.
Extent
1 online resource (292 p.)
Form of item
online
Isbn
9786610864072
Media category
computer
Media type code
c
Other control number
10.1007/978-3-540-71807-9
Specific material designation
remote
System control number
  • (CKB)1000000000282913
  • (EBL)3036691
  • (SSID)ssj0000307388
  • (PQKBManifestationID)11212496
  • (PQKBTitleCode)TC0000307388
  • (PQKBWorkID)10244780
  • (PQKB)11463391
  • (DE-He213)978-3-540-71807-9
  • (MiAaPQ)EBC3036691
  • (EXLCZ)991000000000282913
Label
Punctured Torus Groups and 2-Bridge Knot Groups (I), by Hirotaka Akiyoshi, Makoto Sakuma, Masaaki Wada, Yasushi Yamashita, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [239]-243) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Jorgensen's picture of quasifuchsian punctured torus groups -- Fricke surfaces and PSL(2, ?)-representations -- Labeled representations and associated complexes -- Chain rule and side parameter -- Special examples -- Reformulation of Main Theorem 1.3.5 and outline of the proof -- Openness -- Closedness -- Algebraic roots and geometric roots
Dimensions
unknown
Edition
1st ed. 2007.
Extent
1 online resource (292 p.)
Form of item
online
Isbn
9786610864072
Media category
computer
Media type code
c
Other control number
10.1007/978-3-540-71807-9
Specific material designation
remote
System control number
  • (CKB)1000000000282913
  • (EBL)3036691
  • (SSID)ssj0000307388
  • (PQKBManifestationID)11212496
  • (PQKBTitleCode)TC0000307388
  • (PQKBWorkID)10244780
  • (PQKB)11463391
  • (DE-He213)978-3-540-71807-9
  • (MiAaPQ)EBC3036691
  • (EXLCZ)991000000000282913

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