Introductory lectures on topological quantum field theory by Peelaers, W

“…We will introduce Atiyah’s axiomatic definition of topological quantum field theories and explain how it provides a particularly intuitive, pictorial representation of the algebraic structure of two-dimensional TQFTs. We also consider Witten’s topological twist as a means to obtain so-called cohomological TQFTs. …”

On counting special Lagrangian homology 3-spheres by Joyce, D

“…This is motivated by the Gromov-Witten invariants of a symplectic manifold, which count the J-holomorphic curves in each 2-homology class. …”