Explicit connection between odd Khovanov homology and osp(1|2)

Establish a precise representation-theoretic correspondence linking odd Khovanov homology to the Lie superalgebra osp(1|2) (and its quantum covering version), for example by constructing a functorial model or categorification that realizes odd Khovanov homology within osp(1|2)-based structures.

Background

The thesis discusses expectations that odd link homologies should correspond to covering quantum groups or Lie superalgebras, with odd Khovanov homology linked to U_{q,π}(sl2) or osp(1|2). While gauge-theoretic work supports this perspective, the exact algebraic connection is not established.

Clarifying this link would align odd Khovanov homology with established super Lie theoretic frameworks and could guide further structural and computational advances.