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I was searching for introductions to current mathematics related to gauge theories.

Can someone suggest some good references?


Topics in Physical Mathematics by K. Marathe

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A few suggestions:

  • Donaldson and Kronheimer The geometry of four manifolds
  • Lawson and Michelson Spin geometry
  • Jost Geometry and physics
  • GL Naber Topology, geometry, and gauge fields: Foundations and Topology, geometry, and gauge fields: Interactions
  • Lawson Theory of gauge fields in four dimensions
  • Atiyah Geometry of Yang-Mills fields
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Atiyah and Naber are excellent books. – geodude Aug 24 '13 at 9:34

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