Gauge Fields, Knots And Gravity

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  • Gauge Fields, Knots And Gravity Book Detail

  • Author : John C Baez
  • Release Date : 1994-10-24
  • Publisher : World Scientific Publishing Company
  • Genre : Science
  • Pages : 481
  • ISBN 13 : 9813103248
  • File Size : 78,78 MB

Gauge Fields, Knots And Gravity by John C Baez PDF Summary

Book Description: 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.

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Gauge Fields, Knots And Gravity

Gauge Fields, Knots And Gravity

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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 rapi

Gauge Fields, Knots, and Gravity

Gauge Fields, Knots, and Gravity

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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 rapi

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Gauge Theory and Variational Principles

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