The Betti Langlands duality conjecture for BPS cohomology
Let MMM be a three-manifold and let GGG and G∨G^{\vee}G∨ be Langlands dual groups. Write MG(M)\mathfrak{M}_G(M)MG(M) and MG∨(M)\mathfrak{M}_{G^{\vee}}(M)MG∨(M) for the corresponding stacks of local sy…