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Physical Methods Applied to Donaldson Theory

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Part of the book series: Progress in Mathematics ((PM,volume 131/132))

Abstract

I would like to explain some applications of quantum field theory methods to Donaldson theory. But first, perhaps, I should explain what Donaldson theory is. We start with an oriented four-manifold M,and a compact gauge group, say G = SU (2) We pick a principal G bundle P over M, and let A denote a connection on P The space of such connections will be called A.

Research supported in part by NSF Grant No. PHY92-45317.

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References

  1. S. Donaldson, “Polynomial Invariants For Smooth Four-Manifolds,” Topology 29 (1990) 257.

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© 1995 Birkhäuser Boston

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Witten, E. (1995). Physical Methods Applied to Donaldson Theory. In: Gindikin, S., Lepowsky, J., Wilson, R.L. (eds) Functional Analysis on the Eve of the 21st Century. Progress in Mathematics, vol 131/132. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2582-9_11

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  • DOI: https://doi.org/10.1007/978-1-4612-2582-9_11

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-7590-9

  • Online ISBN: 978-1-4612-2582-9

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