Reduced Khovanov homology detects the unknot among prime knots
Let denote the unknot, and let be a prime knot. Suppose that and are isomorphic as -graded vector spaces over . Reduced Khovanov unknot-detection conjecture. Then
This conjecture asks whether reduced Khovanov homology detects the unknot when restricted to prime knots. The surrounding discussion presents it as a natural problem; no resolution is supplied here.
References
Primary source
Zoltan Szabo, “A geometric spectral sequence in Khovanov homology”, arXiv:1010.4252 (2013).
Additional references
2 papers in this index state this conjecture (2006–2010). The statement above is taken from the most recent of them; the others are arXiv:math/0609531.
Progress summary
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Solutions 0
No solutions have been posted yet.