Appears in collection : Higher Structures in Holomorphic and Topological Field Theory

We briefly describe how to extend the theory of factorization homology equivariantly, which results in a homology theory of manifolds equipped with finite group actions. The theory satisfies, and is characterised by, an excision property. The rest of the talk is devoted to an extended example. We explain how quantum groups, and associated quantum symmetric pairs, define the coefficients for Z/2Z-equivariant factorization homology of framed surfaces. We then discuss the invariant associated to the torus withcertain fixed involution, which is the category of equivariant quantum D-modules on a symmetric space.