Topological quantum field theory and four-manifolds

Marcos Marino

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arXiv · hep-th/0008100

Topological quantum field theory and four-manifolds

Marcos Marino

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Abstract

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.

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Marcos Marino. 2000-09-05. Topological quantum field theory and four-manifolds. https://arxiv.org/abs/hep-th/0008100

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