Donaldson theory (Rev #3, changes) in nLab

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Contents

Idea

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Properties

A topological FQFT-formulation of Donaldson theory is supposed to be given as a functor from a suitable symplectic category of symplectic manifolds with Lagrangian correspondences between them which sends a symplectic manifold to its Fukaya category. For more on this see at Lagrangian correspondences and category-valued TFT.

• topologically twisted D=4 super Yang-Mills theory

• Seiberg-Witten theory

• Gromov-Witten theory

References

• Wikipedia, Donaldson theory

The relation to the topologically twisted N=2 D=4 super Yang-Mills theory is due to

• Edward Witten, Topological quantum field theory, Comm. Math. Phys. Volume 117, Number 3 (1988), 353-386 (Euclid)