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Gauss Diagram Invariants for Knots and Links - T. Fiedler
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T. Fiedler:
Gauss Diagram Invariants for Knots and Links - nieuw boek

ISBN: 9789048157488

ID: 978904815748

Gauss diagram invariants are isotopy invariants of oriented knots in- manifolds which are the product of a (not necessarily orientable) surface with an oriented line. The invariants are defined in a combinatorial way using knot diagrams, and they take values in free abelian groups generated by the first homology group of the surface or by the set of free homotopy classes of loops in the surface. There are three main results: 1. The construction of invariants of finite type for arbitrary knots in non­ orientable 3-manifolds. These invariants can distinguish homotopic knots with homeomorphic complements. 2. Specific invariants of degree 3 for knots in the solid torus. These invariants cannot be generalized for knots in handlebodies of higher genus, in contrast to invariants coming from the theory of skein modules. 2 3. We introduce a special class of knots called global knots, in F x lR and we construct new isotopy invariants, called T-invariants, for global knots. Some T-invariants (but not all !) are of finite type but they cannot be extracted from the generalized Kontsevich integral, which is consequently not the universal invariant of finite type for the restricted class of global knots. We prove that T-invariants separate all global knots of a certain type. 3 As a corollary we prove that certain links in 5 are not invertible without making any use of the link group! Introduction and announcement This work is an introduction into the world of Gauss diagram invariants. T. Fiedler, Books, Gauss Diagram Invariants for Knots and Links Books, Springer-Verlag/Sci-Tech/Trade

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Gauss Diagram Invariants for Knots and Links - Fiedler, T.
(*)
Fiedler, T.:
Gauss Diagram Invariants for Knots and Links - gebruikt boek

ISBN: 9789048157488

ID: 10987468

This book contains new numerical isotopy invariants for knots in the product of a surface (not necessarily orientable) with a line and for links in 3-space. These invariants, called Gauss diagram invariants, are defined in a combinatorial way using knot diagrams. The natural notion of global knots is introduced. Global knots generalize closed braids. If the surface is not the disc or the sphere then there are Gauss diagram invariants which distinguish knots that cannot be distinguished by quantum invariants. There are specific Gauss diagram invariants of finite type for global knots. These invariants, called T-invariants, separate global knots of some classes and it is conjectured that they separate all global knots. T-invariants cannot be obtained from the (generalized) Kontsevich integral. Audience: The book is designed for research workers in low-dimensional topology. Gauss Diagram Invariants for Knots and Links Fiedler, T., Springer

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Gauss Diagram Invariants for Knots and Links - Fiedler, T.
(*)
Fiedler, T.:
Gauss Diagram Invariants for Knots and Links - pocketboek

2010, ISBN: 904815748X

gebonden uitgave, ID: A12091557

Softcover reprint of hardcover 1st ed. 2001 Kartoniert / Broschiert Geometrie, Analytische Topologie, knot theory; Natural; Design; Diagrams; Integral; Modular curve; quantum invariant; Topology; DEX; Finite; Invariant, mit Schutzumschlag neu, [PU:Springer Netherlands; Springer Netherland]

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Gauss Diagram Invariants for Knots and Links - T. Fiedler
(*)
T. Fiedler:
Gauss Diagram Invariants for Knots and Links - pocketboek

ISBN: 9789048157488

ID: 9789048157488

Gauss Diagram Invariants for Knots and Links Gauss-Diagram-Invariants-for-Knots-and-Links~~T-Fiedler Science>Mathematics>Mathematics Paperback, Springer Netherlands

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Gauss Diagram Invariants for Knots and Links - Thomas Fiedler
(*)
Thomas Fiedler:
Gauss Diagram Invariants for Knots and Links - pocketboek

2010, ISBN: 9789048157488

gebonden uitgave, ID: 14929567

Softcover reprint of hardcover 1st ed. 2001, Softcover, Buch, [PU: Springer]

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Bijzonderheden over het boek
Gauss Diagram Invariants for Knots and Links

This book contains new numerical isotopy invariants for knots in the product of a surface (not necessarily orientable) with a line and for links in 3-space. These invariants, called Gauss diagram invariants, are defined in a combinatorial way using knot diagrams. The natural notion of global knots is introduced. Global knots generalize closed braids. If the surface is not the disc or the sphere then there are Gauss diagram invariants which distinguish knots that cannot be distinguished by quantum invariants. There are specific Gauss diagram invariants of finite type for global knots. These invariants, called T-invariants, separate global knots of some classes and it is conjectured that they separate all global knots. T-invariants cannot be obtained from the (generalized) Kontsevich integral. Audience: The book is designed for research workers in low-dimensional topology.

Gedetalleerde informatie over het boek. - Gauss Diagram Invariants for Knots and Links


EAN (ISBN-13): 9789048157488
ISBN (ISBN-10): 904815748X
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer-Verlag GmbH
432 Bladzijden
Gewicht: 0,649 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 24.02.2011 21:59:35
Boek voor het laatst gevonden op 20.11.2018 23:35:31
ISBN/EAN: 9789048157488

ISBN - alternatieve schrijfwijzen:
90-481-5748-X, 978-90-481-5748-8


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