I review some recent results on four-manifold invariants which have been obtained in the context of topological quantum field theory. I focus on three different aspects: (a) the computation of correlation functions, which give explicit results for the Donaldson invariants of non-simply connected manifolds, and for generalizations of these invariants to the gauge group SU(N); (b) compactifications to lower dimensions, and relations with three-manifold topology and with intersection theory on the moduli space of flat connections on Riemann surfaces; (c) four-dimensional theories with critical behavior, which give some remarkable constraints on Seiberg-Witten invariants and new results on the geography of four-manifolds.
CITATION STYLE
Mariño, M. (2001). Topological Quantum Field Theory and Four-Manifolds. In European Congress of Mathematics (pp. 479–488). Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-8266-8_41
Mendeley helps you to discover research relevant for your work.