**manifolds** and **cobordisms**

cobordism theory, *Introduction*

**Definitions**

**Genera and invariants**

**Classification**

**Theorems**

(…)

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*.

- 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)

Review:

- Jan Manschot,
*Four-Manifold Invariants and Donaldson-Witten Theory*, in*Encyclopedia of Mathematical Physics 2nd ed*, Elsevier (2024) [arXiv:2312.14709]

Last revised on December 25, 2023 at 09:41:50. See the history of this page for a list of all contributions to it.