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Date : 2012-07-09
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1107020832
INTRODUCTION TO VASSILIEV KNOT INVARIANTS ~ INTRODUCTION TO VASSILIEV KNOT INVARIANTS S CHMUTOV Ohio State University Mansfield S DUZHIN Steklov Institute of Mathematics St Petersburg J MOSTOVOY Centre for Research and Advanced Studies of the National Polytechnic Institute CINVESTAVIPN Mexico City Cambridge Unive rsity Press 9781107020832 Introduction to Vassiliev Knot
Introduction to Vassiliev knot invariants S Chmutov S ~ The book begins with a basic and informal introduction to knot theory giving many examples of knot invariants before the class of Vassiliev invariants is is followed by a detailed study of the algebras of Jacobi diagrams and 3graphs and the construction of functions on these algebras via Lie algebras
An Introduction to Quantum and Vassiliev Knot Invariants ~ This book provides an accessible introduction to knot theory with a focus on Vassiliev invariants quantum knot invariants constructed via representations of quantum groups and how these two apparently distinct theories come together through the Kontsevich invariant
Introduction to Vassiliev Knot Invariants ~ 145 Estimates for the number of Vassiliev knot invariants 422 Exercises 430 15 The space of all knots 432 151 The space of all knots 433 152 Complements of discriminants 435 153 The space of singular knots and Vassiliev invariants 441 154 Topology of the diagram complex 446 155 Homology of the space of knots and Poisson algebras 451
Introduction to Vassiliev Knot Invariants Mathematical ~ As being a textbook — and an excellent one — the authors take us from a dense but accessible introduction to knots as such to quantum invariants all in the first two chapters and then go on to Vassiliev’s finite type invariants
INTRODUCTION TO VASSILIEV KNOT INVARIANTS ~ 25 Algebra of knot invariants 26 Quantum invariants 27 Twovariable link polynomials Exercises Finite type invariants 31 Definition of Vassiliev invariants 32 Algebra of Vassiliev invariants 33 Vassiliev invariants of degrees 0 1 and 2 34 Chord diagrams 35 Invariants of framed knots
11035628 Introduction to Vassiliev Knot Invariants ~ Abstract This book is a detailed introduction to the theory of finite type Vassiliev knot invariants with a stress on its combinatorial aspects It is intended to serve both as a textbook for readers with no or little background in this area and as a guide to some of the more advanced material
Introduction to Vassiliev Knot Invariants ResearchGate ~ This book is a detailed introduction to the theory of finite type Vassiliev knot invariants with a stress on its combinatorial aspects It is intended to serve both as a textbook for readers
Introduction to Vassiliev Knot Invariants – Books Pics ~ The book begins with a basic and informal introduction to knot theory giving many examples of knot invariants before the class of Vassiliev invariants is introduced This is followed by a detailed study of the algebras of Jacobi diagrams and 3graphs and the construction of functions on these algebras via Lie algebras
INTRODUCTION TO VASSILIEV KNOT INVARIANTS ~ Index 501 Framed knot 17 Framing 17 blackboard 17 independence 89 Free Lie algebra 289 Fundamental theorem for tangles 144 Gauss diagram 19 descending 378
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