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- W2769757386 abstract "Gopakumar, Ooguri and Vafa famously proposed the existence of a correspondence between a topological gauge theory on one hand ($U(N)$ Chern-Simons theory on the three-sphere) and a topological string theory on the other (the topological A-model on the resolved conifold). On the physics side, this duality provides a concrete instance of the large $N$ gauge/string correspondence where exact computations can be performed in detail; mathematically, it puts forward a triangle of striking relations between quantum invariants (Reshetikhin-Turaev-Witten) of knots and 3-manifolds, curve-counting invariants (Gromov-Witten/Donaldson-Thomas) of local Calabi-Yau 3-folds, and the Eynard-Orantin recursion for a specific class of spectral curves. I quickly survey recent results on the most general frame of validity of this correspondence and discuss some of its implications." @default.
- W2769757386 created "2017-12-04" @default.
- W2769757386 creator A5023079329 @default.
- W2769757386 date "2018-11-19" @default.
- W2769757386 modified "2023-09-25" @default.
- W2769757386 title "On the Gopakumar–Ooguri–Vafa correspondence for Clifford–Klein 3-manifolds" @default.
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- W2769757386 doi "https://doi.org/10.1090/pspum/100/02" @default.
- W2769757386 hasPublicationYear "2018" @default.
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