Intrinsic Khovanov homology in ${\mathbb{RP}}^3$

Abstract

We prove that Khovanov homology is an invariant of links in unparametrized ${\mathbb{RP}}^3$'s, i.e., oriented $3$-manifolds diffeomorphic to ${\mathbb{RP}}^3$. Along the way, we establish the functoriality of Khovanov homology for link cobordisms in $I\times {\mathbb{RP}}^3$.

16 pages, many figures. Comments are welcome!