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Polynomial one-cocycles for knots an...

Fiedler, Thomas.

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Polynomial one-cocycles for knots and closed braids /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Polynomial one-cocycles for knots and closed braids // Thomas Fiedler.
作者:	Fiedler, Thomas.
出版者:	Singapore ;World Scientific, : c2020. ,
面頁冊數:	xxiii, 229 p. :ill. ;24 cm.
標題:	Knot polynomials. -
ISBN:	9789811210297

Polynomial one-cocycles for knots and closed braids /
Fiedler, Thomas.

Polynomial one-cocycles for knots and closed braids /Thomas Fiedler. - Singapore ;World Scientific,c2020. - xxiii, 229 p. :ill. ;24 cm. - Series on knots and everything,v. 64 0219-9769 ;. - K & E series on knots and everything,v. 64..

Includes bibliographical references (p. 221-225) and index.

"Traditionally, knot theory deals with diagrams of knots and the search of invariants of diagrams which are invariant under the well known Reidemeister moves. This book goes one step beyond: it gives a method to construct invariants for one parameter famillies of diagrams and which are invariant under 'higher' Reidemeister moves. Luckily, knots in 3-space, often called classical knots, can be transformed into knots in the solid torus without loss of information. It turns out that knots in the solid torus have a particular rich topological moduli space. It contains many 'canonical' loops to which the invariants for one parameter families can be applied, in order to get a new sort of invariants for classical knots."--Provided by publisher.

ISBN: 9789811210297US98.00Subjects--Topical Terms:

3470139
Knot polynomials.

LC Class. No.: QC20.7.K56 / F54 2020

Dewey Class. No.: 514.224

Polynomial one-cocycles for knots and closed braids /
LDR:01429cam a2200193 a 4500 001 2224773
003 OCoLC
005 20200304022701.0
008 210125s2020 si a b 001 0 eng d
020 $a 9789811210297 $q (hbk.) : $c US98.00
020 $a 9811210292 $q (hbk.)
040 $a YDX $b eng $c YDX $d IND $d SINLB $d OCLCF $d CUY
050 # 4 $a QC20.7.K56 $b F54 2020
082 0 4 $a 514.224 $2 23
100 1 $a Fiedler, Thomas. $3 3470137
245 1 0 $a Polynomial one-cocycles for knots and closed braids / $c Thomas Fiedler.
260 # $a Singapore ; $a Hackensack : $b World Scientific, $c c2020.
300 $a xxiii, 229 p. : $b ill. ; $c 24 cm.
490 1 $a Series on knots and everything, $x 0219-9769 ; $v v. 64
504 $a Includes bibliographical references (p. 221-225) and index.
520 # $a "Traditionally, knot theory deals with diagrams of knots and the search of invariants of diagrams which are invariant under the well known Reidemeister moves. This book goes one step beyond: it gives a method to construct invariants for one parameter famillies of diagrams and which are invariant under 'higher' Reidemeister moves. Luckily, knots in 3-space, often called classical knots, can be transformed into knots in the solid torus without loss of information. It turns out that knots in the solid torus have a particular rich topological moduli space. It contains many 'canonical' loops to which the invariants for one parameter families can be applied, in order to get a new sort of invariants for classical knots."--Provided by publisher.
650 # 0 $a Knot polynomials. $3 3470139
830 0 $a K & E series on knots and everything, $x 0219-9769 ; $v v. 64. $3 3470138