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Gauge Fields, Knots and Gravity
Buch von John Baez (u. a.)
Sprache: Englisch

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Beschreibung
This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory.
This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory.
Details
Erscheinungsjahr: 1994
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 486
ISBN-13: 9789810217297
ISBN-10: 9810217293
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Baez, John
Javier, P Muniain
Hersteller: World Scientific Publishing Company
Maße: 235 x 157 x 31 mm
Von/Mit: John Baez (u. a.)
Erscheinungsdatum: 01.10.1994
Gewicht: 0,85 kg
preigu-id: 102737487
Details
Erscheinungsjahr: 1994
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 486
ISBN-13: 9789810217297
ISBN-10: 9810217293
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Baez, John
Javier, P Muniain
Hersteller: World Scientific Publishing Company
Maße: 235 x 157 x 31 mm
Von/Mit: John Baez (u. a.)
Erscheinungsdatum: 01.10.1994
Gewicht: 0,85 kg
preigu-id: 102737487
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