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Introduction to Vassiliev knot invar...

Chmutov, S. (1959-)

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Introduction to Vassiliev knot invariants /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Introduction to Vassiliev knot invariants // S. Chmutov, S. Duzhin, J. Mostovoy.
Author:	Chmutov, S.
other author:	Duzhin, S. V.
Published:	New York :Cambridge University Press, : 2012.,
Description:	xvi, 504 p. :ill. ;26 cm.
Subject:	Invariants. -
Online resource:	http://www.loc.gov/catdir/enhancements/fy1215/2012010339-t.html
Online resource:	http://www.loc.gov/catdir/enhancements/fy1215/2012010339-b.html
Online resource:	http://assets.cambridge.org/97811070/20832/cover/9781107020832.jpg
Online resource:	http://www.loc.gov/catdir/enhancements/fy1215/2012010339-d.html
ISBN:	9781107020832 (hbk.) :

Introduction to Vassiliev knot invariants /
Chmutov, S.1959-

Introduction to Vassiliev knot invariants /S. Chmutov, S. Duzhin, J. Mostovoy. - New York :Cambridge University Press,2012. - xvi, 504 p. :ill. ;26 cm.

Knots and their relatives --

"With hundreds of worked examples, exercises and illustrations, this detailed exposition of the theory of Vassiliev knot invariants opens the field to students with little or no knowledge in this area. It also serves as a guide to more advanced material. 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 3-graphs, and the construction of functions on these algebras via Lie algebras. The authors then describe two constructions of a universal invariant with values in the algebra of Jacobi diagrams: via iterated integrals and via the Drinfeld associator, and extend the theory to framed knots"--

ISBN: 9781107020832 (hbk.) :US70.00

LCCN: 2012010339Subjects--Topical Terms:

555710
Invariants.

LC Class. No.: QA612.2 / .C48 2012

Dewey Class. No.: 514/.2242

Introduction to Vassiliev knot invariants /
LDR:02276cam a2200265 a 450 001 1875153
005 20131223133853.0
008 130828s2012 enka 000 0 eng
010 $a 2012010339
020 $a 9781107020832 (hbk.) : $c US70.00
020 $a 1107020832 (hbk.)
020 $a 9781139107846 (ebk.)
020 $a 1139107844 (ebk.)
035 $a AS-BW-102-N-03
040 $a DLC $c DLC $d DLC
050 0 0 $a QA612.2 $b .C48 2012
082 0 0 $a 514/.2242 $2 23
100 1 $a Chmutov, S. $q (Sergei), $d 1959- $3 2012693
245 1 0 $a Introduction to Vassiliev knot invariants / $c S. Chmutov, S. Duzhin, J. Mostovoy.
260 # $a New York : $b Cambridge University Press, $c 2012.
300 $a xvi, 504 p. : $b ill. ; $c 26 cm.
505 0 # $t Knots and their relatives -- $t Knot invariants -- $t Finite type invariants -- $t Chord diagrams -- $t Jacobi diagrams -- $t Lie algebra weight systems -- $t Algebra of 3-graphs -- $t The Kontsevich integral -- $t Framed knots and cabling operations -- $t The Drinfeld associator -- $t The Kontsevich integral : advanced features -- $t Braids and string links -- $t Gauss diagrams -- $t Miscellany -- $t The space of all knots.
520 # $a "With hundreds of worked examples, exercises and illustrations, this detailed exposition of the theory of Vassiliev knot invariants opens the field to students with little or no knowledge in this area. It also serves as a guide to more advanced material. 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 3-graphs, and the construction of functions on these algebras via Lie algebras. The authors then describe two constructions of a universal invariant with values in the algebra of Jacobi diagrams: via iterated integrals and via the Drinfeld associator, and extend the theory to framed knots"-- $c Provided by publisher.
650 # 0 $a Invariants. $3 555710
650 # 0 $a Knot theory. $3 523755
700 1 # $a Duzhin, S. V. $q (Sergeĭ Vasilʹevich), $d 1956- $3 2012694
700 1 # $a Mostovoy, J. $q (Jacob) $3 2012695
856 4 1 $3 Table of contents only $u http://www.loc.gov/catdir/enhancements/fy1215/2012010339-t.html
856 4 2 $3 Contributor biographical information $u http://www.loc.gov/catdir/enhancements/fy1215/2012010339-b.html
856 4 2 $3 Cover image $u http://assets.cambridge.org/97811070/20832/cover/9781107020832.jpg
856 4 2 $3 Publisher description $u http://www.loc.gov/catdir/enhancements/fy1215/2012010339-d.html