Knots and physics:
This invaluable book is an introduction to knot and link invariants as generalised amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2001
|
| Ausgabe: | 3rd ed |
| Schriftenreihe: | K & E series on knots and everything
v. 1 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | This invaluable book is an introduction to knot and link invariants as generalised amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas. The book is divided into two parts: Part I is a systematic course on knots and physics starting from the ground up, and Part II is a set of lectures on various topics related to Part I. Part II includes topics such as frictional properties of knots, relations with combinatorics, and knots in dynamical systems. In this third edition, a paper by the author entitled "Knot Theory and Functional Integration" has been added. This paper shows how the Kontsevich integral approach to the Vassiliev invariants is directly related to the perturbative expansion of Witten's functional integral. While the book supplies the background, this paper can be read independently as an introduction to quantum field theory and knot invariants and their relation to quantum gravity. As in the second edition, there is a selection of papers by the author at the end of the book. Numerous clarifying remarks have been added to the text |
| Beschreibung: | xvi, 770 p. ill |
| ISBN: | 9789812384836 |
Internformat
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| 520 | |a This invaluable book is an introduction to knot and link invariants as generalised amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas. The book is divided into two parts: Part I is a systematic course on knots and physics starting from the ground up, and Part II is a set of lectures on various topics related to Part I. Part II includes topics such as frictional properties of knots, relations with combinatorics, and knots in dynamical systems. In this third edition, a paper by the author entitled "Knot Theory and Functional Integration" has been added. This paper shows how the Kontsevich integral approach to the Vassiliev invariants is directly related to the perturbative expansion of Witten's functional integral. While the book supplies the background, this paper can be read independently as an introduction to quantum field theory and knot invariants and their relation to quantum gravity. As in the second edition, there is a selection of papers by the author at the end of the book. Numerous clarifying remarks have been added to the text | ||
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Datensatz im Suchindex
| _version_ | 1804178044849487872 |
|---|---|
| any_adam_object | |
| author | Kauffman, Louis H. 1945- |
| author_facet | Kauffman, Louis H. 1945- |
| author_role | aut |
| author_sort | Kauffman, Louis H. 1945- |
| author_variant | l h k lh lhk |
| building | Verbundindex |
| bvnumber | BV044633856 |
| classification_rvk | SK 300 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00004024 (OCoLC)1012687348 (DE-599)BVBBV044633856 |
| dewey-full | 514.2242 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.2242 |
| dewey-search | 514.2242 |
| dewey-sort | 3514.2242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 3rd ed |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:57:43Z |
| institution | BVB |
| isbn | 9789812384836 |
| language | English |
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| series2 | K & E series on knots and everything |
| spelling | Kauffman, Louis H. 1945- Verfasser aut Knots and physics Louis H. Kauffman 3rd ed Singapore World Scientific Pub. Co. c2001 xvi, 770 p. ill txt rdacontent c rdamedia cr rdacarrier K & E series on knots and everything v. 1 This invaluable book is an introduction to knot and link invariants as generalised amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas. The book is divided into two parts: Part I is a systematic course on knots and physics starting from the ground up, and Part II is a set of lectures on various topics related to Part I. Part II includes topics such as frictional properties of knots, relations with combinatorics, and knots in dynamical systems. In this third edition, a paper by the author entitled "Knot Theory and Functional Integration" has been added. This paper shows how the Kontsevich integral approach to the Vassiliev invariants is directly related to the perturbative expansion of Witten's functional integral. While the book supplies the background, this paper can be read independently as an introduction to quantum field theory and knot invariants and their relation to quantum gravity. As in the second edition, there is a selection of papers by the author at the end of the book. Numerous clarifying remarks have been added to the text Knot polynomials Mathematical physics Physik (DE-588)4045956-1 gnd rswk-swf Knotentheorie (DE-588)4164318-5 gnd rswk-swf Knoten Mathematik (DE-588)4164314-8 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift gnd-content Knoten Mathematik (DE-588)4164314-8 s Physik (DE-588)4045956-1 s 2\p DE-604 Knotentheorie (DE-588)4164318-5 s 3\p DE-604 Erscheint auch als Druck-Ausgabe 9789810241124 (pbk.) Erscheint auch als Druck-Ausgabe 9810241119 Erscheint auch als Druck-Ausgabe 9810241127 (pbk.) http://www.worldscientific.com/worldscibooks/10.1142/4256#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kauffman, Louis H. 1945- Knots and physics Knot polynomials Mathematical physics Physik (DE-588)4045956-1 gnd Knotentheorie (DE-588)4164318-5 gnd Knoten Mathematik (DE-588)4164314-8 gnd |
| subject_GND | (DE-588)4045956-1 (DE-588)4164318-5 (DE-588)4164314-8 (DE-588)1071861417 |
| title | Knots and physics |
| title_auth | Knots and physics |
| title_exact_search | Knots and physics |
| title_full | Knots and physics Louis H. Kauffman |
| title_fullStr | Knots and physics Louis H. Kauffman |
| title_full_unstemmed | Knots and physics Louis H. Kauffman |
| title_short | Knots and physics |
| title_sort | knots and physics |
| topic | Knot polynomials Mathematical physics Physik (DE-588)4045956-1 gnd Knotentheorie (DE-588)4164318-5 gnd Knoten Mathematik (DE-588)4164314-8 gnd |
| topic_facet | Knot polynomials Mathematical physics Physik Knotentheorie Knoten Mathematik Konferenzschrift |
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| work_keys_str_mv | AT kauffmanlouish knotsandphysics |