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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Gauge Fields, Knots And Gravity (Hardcover)
Loot Price: R3,162
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Gauge Fields, Knots And Gravity (Hardcover)
Series: Series on Knots & Everything, 4
Expected to ship within 10 - 15 working days
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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 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.
General
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