nLab
Donaldson theory

Contents

Context

Manifolds and cobordisms

Quantum field theory

Contents

Idea

(…)

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.

References

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)

Last revised on September 10, 2013 at 14:46:37. See the history of this page for a list of all contributions to it.