Topological 5d $\mathcal{N}=2$ Gauge Theories: Mirror Symmetry and Langlands Duality of $A_{\infty }$-categories of Floer Homologies

Arif Er, Meng-Chwan Tan

We explain why on certain five-manifolds, topological 5d $\mathcal{N}=2$ gauge theory of Haydys-Witten twist with gauge group $G$, is dual to that of Geyer-Mülsch twist with gaug…