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Introduction to Vassiliev knot invar...

Chmutov, S. (1959-)

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Introduction to Vassiliev knot invariants /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Introduction to Vassiliev knot invariants // S. Chmutov, S. Duzhin, J. Mostovoy.
作者:	Chmutov, S.
其他作者:	Duzhin, S. V.
出版者:	New York :Cambridge University Press, : 2012.,
面頁冊數:	xvi, 504 p. :ill. ;26 cm.
標題:	Invariants. -
電子資源:	http://www.loc.gov/catdir/enhancements/fy1215/2012010339-t.html
電子資源:	http://www.loc.gov/catdir/enhancements/fy1215/2012010339-b.html
電子資源:	http://assets.cambridge.org/97811070/20832/cover/9781107020832.jpg
電子資源:	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 /
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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