Categorification conjecture for colored Hopf-link invariants in real projective three-space
Categorification conjecture for colored Hopf-link invariants in real projective three-space
Let be a Hopf link in whose components are colored by an -dimensional skew-symmetric and/or -dimensional symmetric representation of . Specialize and to products of monomial factors in and , and consider the resulting -series expansion of . Categorification conjecture. Up to an overall factor, this expansion is the graded Poincaré series of a colored link homology theory for links in . This extends the proposed categorification from the unknot to the computed Hopf-link invariants. The supplied text does not state a resolution status.
Sources & referencesView supporting material
Primary source
John Chae, “Link in RP^3 and the Topological Vertex”, arXiv:2501.12566 (2025).
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