Topological quantum field theory

  title={Topological quantum field theory},
  author={Edward Witten},
  journal={Communications in Mathematical Physics},
  • E. Witten
  • Published 1 February 1988
  • Physics
  • Communications in Mathematical Physics
A twisted version of four dimensional supersymmetric gauge theory is formulated. The model, which refines a nonrelativistic treatment by Atiyah, appears to underlie many recent developments in topology of low dimensional manifolds; the Donaldson polynomial invariants of four manifolds and the Floer groups of three manifolds appear naturally. The model may also be interesting from a physical viewpoint; it is in a sense a generally covariant quantum field theory, albeit one in which general… Expand
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