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
Provider
Subject
Language
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
http://library.link/vocab/creatorName
Akiyoshi, Hirotaka
Image bit depth
0
LC call number
  • QA613-613.8
  • QA613.6-613.66
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Sakuma, Makoto.
  • Wada, Masaaki.
  • Yamashita, Yasushi.
  • SpringerLink
Series statement
Lecture Notes in Mathematics,
Series volume
1909
http://library.link/vocab/subjectName
  • Mathematics
  • Group theory
  • Functions of complex variables
  • Cell aggregation
  • Mathematics
  • 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
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Extent
XLIII, 252 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540718079
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-540-71807-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-71807-9
Label
Punctured Torus Groups and 2-Bridge Knot Groups (I), by Hirotaka Akiyoshi, Makoto Sakuma, Masaaki Wada, Yasushi Yamashita, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Extent
XLIII, 252 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540718079
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-540-71807-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-71807-9

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