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Geometric properties and problems of thick knots [[electronic resource] /] / Yuanan Diao and Claus Ernst
| Geometric properties and problems of thick knots [[electronic resource] /] / Yuanan Diao and Claus Ernst |
| Autore | Diao Yuanan |
| Pubbl/distr/stampa | New York, : Nova Science Publishers, c2009 |
| Descrizione fisica | 1 online resource (91 p.) |
| Disciplina | 514/.2242 |
| Altri autori (Persone) | ErnstClaus |
| Collana | Mathematics research developments series |
| Soggetto topico | Knot theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-61324-629-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Some basic facts of knot theory -- Thicknesses of knots -- Ropelengths of knots -- Smooth knots vs knots on the cubic lattice -- Global lower bound on ropelength of knots -- General lower bounds on ropelength of knots -- General upper bounds on ropelength of knots -- Ropelength upper bounds for special classes of knots -- The spectrum of powers realizable by thick knots -- Total curvature of thick knots -- The linking number of a thick link with two or more components -- Some open questions. |
| Record Nr. | UNINA-9910458003603321 |
Diao Yuanan
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| New York, : Nova Science Publishers, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometric properties and problems of thick knots [[electronic resource] /] / Yuanan Diao and Claus Ernst
| Geometric properties and problems of thick knots [[electronic resource] /] / Yuanan Diao and Claus Ernst |
| Autore | Diao Yuanan |
| Pubbl/distr/stampa | New York, : Nova Science Publishers, c2009 |
| Descrizione fisica | 1 online resource (91 p.) |
| Disciplina | 514/.2242 |
| Altri autori (Persone) | ErnstClaus |
| Collana | Mathematics research developments series |
| Soggetto topico | Knot theory |
| ISBN | 1-61324-629-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Some basic facts of knot theory -- Thicknesses of knots -- Ropelengths of knots -- Smooth knots vs knots on the cubic lattice -- Global lower bound on ropelength of knots -- General lower bounds on ropelength of knots -- General upper bounds on ropelength of knots -- Ropelength upper bounds for special classes of knots -- The spectrum of powers realizable by thick knots -- Total curvature of thick knots -- The linking number of a thick link with two or more components -- Some open questions. |
| Record Nr. | UNINA-9910781851003321 |
|
Diao Yuanan
|
||
| New York, : Nova Science Publishers, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric properties and problems of thick knots / / Yuanan Diao and Claus Ernst
| Geometric properties and problems of thick knots / / Yuanan Diao and Claus Ernst |
| Autore | Diao Yuanan |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | New York, : Nova Science Publishers, c2009 |
| Descrizione fisica | 1 online resource (91 p.) |
| Disciplina | 514/.2242 |
| Altri autori (Persone) | ErnstClaus |
| Collana | Mathematics research developments series |
| Soggetto topico | Knot theory |
| ISBN | 1-61324-629-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Some basic facts of knot theory -- Thicknesses of knots -- Ropelengths of knots -- Smooth knots vs knots on the cubic lattice -- Global lower bound on ropelength of knots -- General lower bounds on ropelength of knots -- General upper bounds on ropelength of knots -- Ropelength upper bounds for special classes of knots -- The spectrum of powers realizable by thick knots -- Total curvature of thick knots -- The linking number of a thick link with two or more components -- Some open questions. |
| Record Nr. | UNINA-9910970449603321 |
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Diao Yuanan
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||
| New York, : Nova Science Publishers, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An Invitation to Knot Theory : Virtual and Classical / / by Heather A. Dye
| An Invitation to Knot Theory : Virtual and Classical / / by Heather A. Dye |
| Autore | Dye Heather A. |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Boca Raton, FL : , : Chapman and Hall/CRC, , [2018] |
| Descrizione fisica | 1 online resource (285 pages) : illustrations, tables |
| Disciplina | 514/.2242 |
| Soggetto topico | Knot theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-315-36238-4
1-315-37075-1 1-4987-9861-6 1-4987-0165-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Knots and crossingsVirtual knots and links CURVES IN THE PLANE VIRTUAL LINKS ORIENTED VIRTUAL LINK DIAGRAMS -- Linking invariants CONDITIONAL STATEMENTS WRITHE AND LINKING NUMBER DIFFERENCE NUMBER CROSSING WEIGHT NUMBERS -- A multiverse of knots FLAT AND FREE LINKS WELDED, SINGULAR, AND PSEUDO KNOTS NEW KNOT THEORIES -- Crossing invariants CROSSING NUMBERS UNKNOTTING NUMBERS UNKNOTTING SEQUENCE NUMBERS -- Constructing knots SYMMETRY TANGLES, MUTATION, AND PERIODIC LINKS PERIODIC LINKS AND SATELLITE KNOTS -- Knot polynomialsThe bracket polynomial THE NORMALIZED KAUFFMAN BRACKET POLYNOMIAL THE STATE SUM THE IMAGE OF THE F-POLYNOMIAL-- Surfaces SURFACES CONSTRUCTIONS OF VIRTUAL LINKS GENUS OF A VIRTUAL LINK -- Bracket polynomial II STATES AND THE BOUNDARY PROPERTY PROPER STATES DIAGRAMS WITH ONE VIRTUAL CROSSING -- The checkerboard framing CHECKERBOARD FRAMINGS CUT POINTS EXTENDING THE KAUFFMAN-MURASUGI-THISTLETHWAITE THEOREM-- Modifications of the bracket polynomial THE FLAT BRACKET THE ARROW POLYNOMIAL VASSILIEV INVARIANTS -- Algebraic structuresQuandles TRICOLORING QUANDLES KNOT QUANDLES -- Knots and quandles A LITTLE LINEAR ALGEBRA AND THE TREFOIL THE DETERMINANT OF A KNOT THE ALEXANDER POLYNOMIAL THE FUNDAMENTAL GROUP -- Biquandles THE BIQUANDLE STRUCTURE THE GENERALIZED ALEXANDER POLYNOMIAL -- Gauss diagrams GAUSS WORDS AND DIAGRAMS PARITY AND PARITY INVARIANTS CROSSING WEIGHT NUMBER -- Applications QUANTUM COMPUTATION TEXTILES -- Appendix A: Tables Appendix B: References by Chapter-- Open problems and projects appear at the end of each chapter. |
| Record Nr. | UNINA-9910465887203321 |
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Dye Heather A.
|
||
| Boca Raton, FL : , : Chapman and Hall/CRC, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An Invitation to Knot Theory : Virtual and Classical / / by Heather A. Dye
| An Invitation to Knot Theory : Virtual and Classical / / by Heather A. Dye |
| Autore | Dye Heather A. |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Boca Raton, FL : , : Chapman and Hall/CRC, , [2018] |
| Descrizione fisica | 1 online resource (285 pages) : illustrations, tables |
| Disciplina | 514/.2242 |
| Soggetto topico | Knot theory |
| ISBN |
1-315-36009-8
1-315-36238-4 1-315-37075-1 1-4987-9861-6 1-4987-0165-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Knots and crossingsVirtual knots and links CURVES IN THE PLANE VIRTUAL LINKS ORIENTED VIRTUAL LINK DIAGRAMS -- Linking invariants CONDITIONAL STATEMENTS WRITHE AND LINKING NUMBER DIFFERENCE NUMBER CROSSING WEIGHT NUMBERS -- A multiverse of knots FLAT AND FREE LINKS WELDED, SINGULAR, AND PSEUDO KNOTS NEW KNOT THEORIES -- Crossing invariants CROSSING NUMBERS UNKNOTTING NUMBERS UNKNOTTING SEQUENCE NUMBERS -- Constructing knots SYMMETRY TANGLES, MUTATION, AND PERIODIC LINKS PERIODIC LINKS AND SATELLITE KNOTS -- Knot polynomialsThe bracket polynomial THE NORMALIZED KAUFFMAN BRACKET POLYNOMIAL THE STATE SUM THE IMAGE OF THE F-POLYNOMIAL-- Surfaces SURFACES CONSTRUCTIONS OF VIRTUAL LINKS GENUS OF A VIRTUAL LINK -- Bracket polynomial II STATES AND THE BOUNDARY PROPERTY PROPER STATES DIAGRAMS WITH ONE VIRTUAL CROSSING -- The checkerboard framing CHECKERBOARD FRAMINGS CUT POINTS EXTENDING THE KAUFFMAN-MURASUGI-THISTLETHWAITE THEOREM-- Modifications of the bracket polynomial THE FLAT BRACKET THE ARROW POLYNOMIAL VASSILIEV INVARIANTS -- Algebraic structuresQuandles TRICOLORING QUANDLES KNOT QUANDLES -- Knots and quandles A LITTLE LINEAR ALGEBRA AND THE TREFOIL THE DETERMINANT OF A KNOT THE ALEXANDER POLYNOMIAL THE FUNDAMENTAL GROUP -- Biquandles THE BIQUANDLE STRUCTURE THE GENERALIZED ALEXANDER POLYNOMIAL -- Gauss diagrams GAUSS WORDS AND DIAGRAMS PARITY AND PARITY INVARIANTS CROSSING WEIGHT NUMBER -- Applications QUANTUM COMPUTATION TEXTILES -- Appendix A: Tables Appendix B: References by Chapter-- Open problems and projects appear at the end of each chapter. |
| Record Nr. | UNINA-9910798718403321 |
|
Dye Heather A.
|
||
| Boca Raton, FL : , : Chapman and Hall/CRC, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An Invitation to Knot Theory : Virtual and Classical / / by Heather A. Dye
| An Invitation to Knot Theory : Virtual and Classical / / by Heather A. Dye |
| Autore | Dye Heather A. |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Boca Raton, FL : , : Chapman and Hall/CRC, , [2018] |
| Descrizione fisica | 1 online resource (285 pages) : illustrations, tables |
| Disciplina | 514/.2242 |
| Soggetto topico | Knot theory |
| ISBN |
1-315-36009-8
1-315-36238-4 1-315-37075-1 1-4987-9861-6 1-4987-0165-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Knots and crossingsVirtual knots and links CURVES IN THE PLANE VIRTUAL LINKS ORIENTED VIRTUAL LINK DIAGRAMS -- Linking invariants CONDITIONAL STATEMENTS WRITHE AND LINKING NUMBER DIFFERENCE NUMBER CROSSING WEIGHT NUMBERS -- A multiverse of knots FLAT AND FREE LINKS WELDED, SINGULAR, AND PSEUDO KNOTS NEW KNOT THEORIES -- Crossing invariants CROSSING NUMBERS UNKNOTTING NUMBERS UNKNOTTING SEQUENCE NUMBERS -- Constructing knots SYMMETRY TANGLES, MUTATION, AND PERIODIC LINKS PERIODIC LINKS AND SATELLITE KNOTS -- Knot polynomialsThe bracket polynomial THE NORMALIZED KAUFFMAN BRACKET POLYNOMIAL THE STATE SUM THE IMAGE OF THE F-POLYNOMIAL-- Surfaces SURFACES CONSTRUCTIONS OF VIRTUAL LINKS GENUS OF A VIRTUAL LINK -- Bracket polynomial II STATES AND THE BOUNDARY PROPERTY PROPER STATES DIAGRAMS WITH ONE VIRTUAL CROSSING -- The checkerboard framing CHECKERBOARD FRAMINGS CUT POINTS EXTENDING THE KAUFFMAN-MURASUGI-THISTLETHWAITE THEOREM-- Modifications of the bracket polynomial THE FLAT BRACKET THE ARROW POLYNOMIAL VASSILIEV INVARIANTS -- Algebraic structuresQuandles TRICOLORING QUANDLES KNOT QUANDLES -- Knots and quandles A LITTLE LINEAR ALGEBRA AND THE TREFOIL THE DETERMINANT OF A KNOT THE ALEXANDER POLYNOMIAL THE FUNDAMENTAL GROUP -- Biquandles THE BIQUANDLE STRUCTURE THE GENERALIZED ALEXANDER POLYNOMIAL -- Gauss diagrams GAUSS WORDS AND DIAGRAMS PARITY AND PARITY INVARIANTS CROSSING WEIGHT NUMBER -- Applications QUANTUM COMPUTATION TEXTILES -- Appendix A: Tables Appendix B: References by Chapter-- Open problems and projects appear at the end of each chapter. |
| Record Nr. | UNINA-9910960730503321 |
|
Dye Heather A.
|
||
| Boca Raton, FL : , : Chapman and Hall/CRC, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Knot theory and its applications : ICTS Program on Knot Theory and Its Applications, December 10-20, 2013, IISER, Mohali, India / / Krishnendu Gongopadhyay, Rama Mishra, editors
| Knot theory and its applications : ICTS Program on Knot Theory and Its Applications, December 10-20, 2013, IISER, Mohali, India / / Krishnendu Gongopadhyay, Rama Mishra, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2016 |
| Descrizione fisica | 1 online resource (376 pages) : illustrations |
| Disciplina | 514/.2242 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Knot theory
Topology |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-3526-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480732603321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Knot theory and its applications : ICTS Program on Knot Theory and Its Applications, December 10-20, 2013, IISER, Mohali, India / / Krishnendu Gongopadhyay, Rama Mishra, editors
| Knot theory and its applications : ICTS Program on Knot Theory and Its Applications, December 10-20, 2013, IISER, Mohali, India / / Krishnendu Gongopadhyay, Rama Mishra, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2016 |
| Descrizione fisica | 1 online resource (376 pages) : illustrations |
| Disciplina | 514/.2242 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Knot theory
Topology |
| ISBN | 1-4704-3526-8 |
| Classificazione | 57Mxx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910794872503321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Knot theory and its applications : ICTS Program on Knot Theory and Its Applications, December 10-20, 2013, IISER, Mohali, India / / Krishnendu Gongopadhyay, Rama Mishra, editors
| Knot theory and its applications : ICTS Program on Knot Theory and Its Applications, December 10-20, 2013, IISER, Mohali, India / / Krishnendu Gongopadhyay, Rama Mishra, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2016 |
| Descrizione fisica | 1 online resource (376 pages) : illustrations |
| Disciplina | 514/.2242 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Knot theory
Topology |
| ISBN | 1-4704-3526-8 |
| Classificazione | 57Mxx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910807266803321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Knots / / Gerhard Burde, Heiner Zieschang, Michael Heusener
| Knots / / Gerhard Burde, Heiner Zieschang, Michael Heusener |
| Autore | Burde Gerhard <1931-> |
| Edizione | [Third, fully revised and extended edition.] |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co. KG, , 2013 |
| Descrizione fisica | 1 online resource (432 p.) |
| Disciplina | 514/.2242 |
| Altri autori (Persone) |
ZieschangHeiner
HeusenerMichael |
| Collana |
De Gruyter Studies in Mathematics
De Gruyter studies in mathematics |
| Soggetto topico | Knot theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-027078-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface to the First Edition -- Preface to the Second Edition -- Preface to the Third Edition -- Contents -- Chapter 1: Knots and isotopies -- Chapter 2: Geometric concepts -- Chapter 3: Knot groups -- Chapter 4: Commutator subgroup of a knot group -- Chapter 5: Fibered knots -- Chapter 6: A characterization of torus knots -- Chapter 7: Factorization of knots -- Chapter 8: Cyclic coverings and Alexander invariants -- Chapter 9: Free differential calculus and Alexander matrices -- Chapter 10: Braids -- Chapter 11: Manifolds as branched coverings -- Chapter 12: Montesinos links -- Chapter 13: Quadratic forms of a knot -- Chapter 14: Representations of knot groups -- Chapter 15: Knots, knot manifolds, and knot groups -- Chapter 16: Bridge number and companionship -- Chapter 17: The 2-variable skein polynomial -- Appendix A: Algebraic theorems -- Appendix B: Theorems of 3-dimensional topology -- Appendix C: Table -- Appendix D: Knot projections 01-949 -- References -- Author index -- Glossary of Symbols -- Index |
| Record Nr. | UNINA-9910453774803321 |
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Burde Gerhard <1931->
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| Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co. KG, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||