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)
Resource Information
The item Properties of closed 3-braids and braid representations of links, Alexander Stoimenow, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Properties of closed 3-braids and braid representations of links, Alexander Stoimenow, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
- 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.--
- Language
- eng
- Extent
- 1 online resource
- 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
- Isbn
- 9783319681481
- 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
- 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.--
- 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)
- 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)
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Properties-of-closed-3-braids-and-braid/P174RtvQ4pk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Properties-of-closed-3-braids-and-braid/P174RtvQ4pk/">Properties of closed 3-braids and braid representations of links, Alexander Stoimenow, (electronic book)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>
