The Language of Exact Sequences

Eberhard Zeidler
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Eberhard Zeidler: Max Planck Institute for Mathematics in the Sciences

Chapter 21 in Quantum Field Theory III: Gauge Theory, 2011, pp 1003-1008 from Springer

Abstract: Abstract We will show that exact sequences are a basic tool for the following topics: systems of linear equations (linear operator equations), homology and cohomology in topology, the general potential equation in gauge theory; here, Betti numbers are counting the linearly independent constraints for the existence of physical fields on manifolds: Betti numbers are also counting the gauge degrees of freedom of the potentials (modulo cohomology).

Keywords: Gauge Theory; Linear Operator; Exact Sequence; Linear Space; Linear Subspace (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-22421-8_22

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DOI: 10.1007/978-3-642-22421-8_22

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