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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


Specifications
  • Gauge Fields, Knots, And Gravity available on September 07 2018 from Indigo for 78.15
  • Gauge Fields, Knots, And Gravity Series On Knots And Everything available on August 07 2018 from NeweggBusiness for Https://www.neweggbusiness.com/Product/Product.aspx?Item=9SIV0UN4FB4033&nm_mc=afc-cjb2b&cm_mmc=afc-cjb2b-_-Books-_-World+Scientific+Pub+Co+Inc-_-9SIV0UN4FB4033&cjsku=9SIV0UN4FB4033" itemprop="offers" target="_external" title="" itemscope itemtype="http://schema.org/Offer">80.19
  • ISBN bar code 9789810220341 ξ1 registered September 07 2018
  • ISBN bar code 9789810220341 ξ2 registered August 07 2018
  • Product category is Book

  • # 978981022034
  • # 9SIV0UN4FB4033

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.


References
    ^ Gauge Fields, Knots, And Gravity Indigo. (revised Sep 2018)
    ^ Gauge Fields, Knots, And Gravity Series On Knots And Everything, World Scientific Pub Co Inc. NeweggBusiness. (revised Aug 2018)

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