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In this paper, we study genuine equivariant factorization homology and itsinteraction with equivariant Thom spectra, which we construct using thelanguage of parametrized higher category theory. We describe the genuineequivariant factorization homology of Thom spectra, and use this description tocompute several examples of interest. A key ingredient for our computations isan equivariant nonabelian Poincar\'e duality theorem, in which we prove thatfactorization homology with coefficients in a $G$-space is given by a mappingspace. We compute the Real topological Hochschild homology ($THR$) of the Realbordism spectrum $MU_\mathbb{R}$ and of the equivariant Eilenberg--MacLanespectra $H\underline{\mathbb{F}}_2$ and $H\underline{\mathbb{Z}}_{(2)}$, aswell as factorization homology of the sphere $S^{2\sigma}$ with coefficients inthese Eilenberg--MacLane spectra. In the appendix, Jeremy Hahn and Dylan Wilsoncompute $THR(H\underline{\mathbb{Z}})$.

Equivariant nonabelian Poincar\'e duality and equivariant factorization homology of Thom spectra