Coverart for item
The Resource Properties of closed 3-braids and braid representations of links, Alexander Stoimenow, (electronic book)

Properties of closed 3-braids and braid representations of links, Alexander Stoimenow, (electronic book)

Label
Properties of closed 3-braids and braid representations of links
Title
Properties of closed 3-braids and braid representations of links
Statement of responsibility
Alexander Stoimenow
Creator
Author
Subject
Language
eng
Summary
This book studies diverse aspects of braid representations via knots and links. Complete classification results are illustrated for several properties through Xu’s normal 3-braid form and the Hecke algebra representation theory of link polynomials developed by Jones. Topological link types are identified within closures of 3-braids which have a given Alexander or Jones polynomial. Further classifications of knots and links arising by the closure of 3-braids are given, and new results about 4-braids are part of the work. Written with knot theorists, topologists,and graduate students in mind, this book features the identification and analysis of effective techniques for diagrammatic examples with unexpected properties.--
Member of
Assigning source
Provided by publisher
Cataloging source
YDX
http://library.link/vocab/creatorName
Stoimenow, Alexander
Dewey number
514/.224
Illustrations
illustrations
Index
index present
LC call number
QA612.23
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
SpringerBriefs in mathematics
http://library.link/vocab/subjectName
Braid theory
Label
Properties of closed 3-braids and braid representations of links, Alexander Stoimenow, (electronic book)
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. Preliminaries, basic definitions and conventions -- 3. Xu’s form and Seifert surfaces -- 4. Polynomial invariants -- 5. Positivity of 3-braid links -- 6. Studying alternating links by braid index -- 7. Applications of the representation theory -- Appendix. –References.-Index
Dimensions
unknown
Extent
1 online resource
Form of item
online
Isbn
9783319681481
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Specific material designation
remote
System control number
  • (OCoLC)1013819863
  • on1013819863
Label
Properties of closed 3-braids and braid representations of links, Alexander Stoimenow, (electronic book)
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Introduction -- 2. Preliminaries, basic definitions and conventions -- 3. Xu’s form and Seifert surfaces -- 4. Polynomial invariants -- 5. Positivity of 3-braid links -- 6. Studying alternating links by braid index -- 7. Applications of the representation theory -- Appendix. –References.-Index
Dimensions
unknown
Extent
1 online resource
Form of item
online
Isbn
9783319681481
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Specific material designation
remote
System control number
  • (OCoLC)1013819863
  • on1013819863

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