Articoli correlati a Gauss Diagram Invariants for Knots and Links: 532
Sinossi
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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
Preface. Introduction and announcement. 1. The space of diagrams. 2. Invariants of knots and links by Gauss sums. 3. Applications. 4. Global knot theory in F2xR. 5. Isotopies with restricted cusp crossing for fronts with exactly two cusps of Legendre knots in ST*R2. Bibliography. Index.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Compra nuovo
Visualizza questo articolo
EUR 92,27
EUR 9,70 per la spedizione da Germania a Italia
Destinazione, tempi e costiAltre edizioni note dello stesso titolo
Risultati della ricerca per Gauss Diagram Invariants for Knots and Links: 532
Immagini fornite dal venditore
Gauss Diagram Invariants for Knots and Links
Print on DemandDa: moluna, Greven, Germania
Valutazione del venditore 5 su 5 stelle
Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 value. Codice articolo 5969931
Quantità: Più di 20 disponibili
Immagini fornite dal venditore
Gauss Diagram Invariants for Knots and Links
Editore:
Springer Netherlands Aug 2001, 2001
ISBN 10: 0792371127
ISBN 13: 9780792371120
Nuovo
Rilegato
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
Valutazione del venditore 5 su 5 stelle
Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 436 pp. Englisch. Codice articolo 9780792371120
Quantità: 2 disponibili
Immagini fornite dal venditore
Gauss Diagram Invariants for Knots and Links
Da: GreatBookPrices, Columbia, MD, U.S.A.
Valutazione del venditore 5 su 5 stelle
Condizione: New. Codice articolo 756920-n
Quantità: Più di 20 disponibili
Foto dell'editore
Gauss Diagram Invariants for Knots and Links (Mathematics and Its Applications, 532)
Da: Best Price, Torrance, CA, U.S.A.
Valutazione del venditore 5 su 5 stelle
Condizione: New. SUPER FAST SHIPPING. Codice articolo 9780792371120
Quantità: 2 disponibili
Immagini fornite dal venditore
Gauss Diagram Invariants for Knots and Links
Editore:
Springer Netherlands, Springer Netherlands Aug 2001, 2001
ISBN 10: 0792371127
ISBN 13: 9780792371120
Nuovo
Rilegato
Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
Valutazione del venditore 5 su 5 stelle
Buch. Condizione: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 436 pp. Englisch. Codice articolo 9780792371120
Quantità: 2 disponibili
Foto dell'editore
Gauss Diagram Invariants for Knots and Links (Mathematics and Its Applications, 532)
Da: Ria Christie Collections, Uxbridge, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: New. In. Codice articolo ria9780792371120_new
Quantità: Più di 20 disponibili
Immagini fornite dal venditore
Gauss Diagram Invariants for Knots and Links
Editore:
Springer Netherlands, Springer Netherlands, 2001
ISBN 10: 0792371127
ISBN 13: 9780792371120
Nuovo
Rilegato
Da: AHA-BUCH GmbH, Einbeck, Germania
Valutazione del venditore 5 su 5 stelle
Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9780792371120
Quantità: 1 disponibili
Foto dell'editore
Gauss Diagram Invariants for Knots and Links
Da: GreatBookPricesUK, Woodford Green, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: New. Codice articolo 756920-n
Quantità: Più di 20 disponibili
Foto dell'editore
Gauss Diagram Invariants for Knots and Links
Print on DemandDa: THE SAINT BOOKSTORE, Southport, Regno Unito
Valutazione del venditore 5 su 5 stelle
Hardback. Condizione: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 938. Codice articolo C9780792371120
Quantità: Più di 20 disponibili
Foto dell'editore
Gauss Diagram Invariants for Knots and Links
Da: Books Puddle, New York, NY, U.S.A.
Valutazione del venditore 4 su 5 stelle
Condizione: New. pp. 436. Codice articolo 263069386
Quantità: 4 disponibili