manifolds and cobordisms
cobordism theory, Introduction
functorial quantum field theory
Reshetikhin?Turaev model? / Chern-Simons theory
FQFT and cohomology
(…)
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.
The relation to the topologically twisted N=2 D=4 super Yang-Mills theory is due to
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