An introduction to quantum and Vassiliev knot invariants. ([2019])

• Record Type: Book
• Further Information: Note: David M. Jackson and Iain Moffatt.
• Authors: Jackson, David M; Moffatt, Iain
• Contents: Intro; Preface; Contents; Frequently Used Notation; Introduction; Part I Basic Knot Theory; 1 Knots; 1.1 Knots and Equivalence; 1.2 Knot and Link Diagrams; 1.3 The Reidemeister Moves; 1.4 A Proof of Reidemeister's Theorem; 1.5 Oriented Links; 2 Knot and Link Invariants; 2.1 The Idea of an Invariant; 2.2 Skein Relations and Polynomial Invariants; 3 Framed Links; 3.1 Framed Links and Their Diagrams; 3.2 Framed Link Invariants; 3.3 Deframing a Link Invariant; 4 Braids and the Braid Group; 4.1 Braids and Braid Equivalence; 4.2 The Braid Group mathfrakBn; 4.3 The Markov Moves 8.4.1 Lie Algebras8.4.2 The Quantized Universal Enveloping Algebra Uh(mathfraksl2); 8.4.3 The Quantized Universal Enveloping Algebra Uq(mathfraksl2); 8.4.4 Representations; 9 Reshetikhin-Turaev Invariants; 9.1 Coloured Tangles; 9.2 Construction of the Invariants; 9.3 QmathfrakA is an Operator Invariant; 9.4 A Knot Invariant from Uq(mathfraksl2); Part III Vassiliev Invariants; 10 The Fundamentals of Vassiliev Invariants; 10.1 Vassiliev Invariants and Singular Knots; 10.2 Examples of Vassiliev Invariants; 10.3 The Vector Space of Vassiliev Invariants; 11 Chord Diagrams
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2019
• Extent: 1 online resource
• Subjects: 530.143; Knot theory; SCIENCE / Energy; SCIENCE / Mechanics / General; SCIENCE / Physics / General; Electronic books
• Languages: English
• ISBNs: 9783030052133; 3030052133
• Related ISBNs: 9783030052126
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (EBSCO, viewed May 7, 2019).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.