Khovanov's conjecture over Z[c]
Magnus Jacobsson
TL;DR
This paper disproves Khovanov's conjecture on the functoriality of his link homology with polynomial coefficients, contrasting with the proven functoriality over integers, thus clarifying the limitations of the theory.
Contribution
It provides the first counterexample to Khovanov's conjecture over Z[c], highlighting the boundaries of functoriality in link homology theories.
Findings
Disproves Khovanov's conjecture over Z[c]
Shows functoriality fails with polynomial coefficients
Contrasts with functoriality over integers
Abstract
We disprove the conjecture of M. Khovanov (math.QA/9908171) on the functoriality of his link homology with polynomial coefficients. This is in contrast to the case of integer coefficients, where functoriality was proved in math.GT/0206303 .
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics