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math.GT2019
On a Poincaré polynomial from Khovanov homology and Vassiliev invariants
Noboru Ito, Masaya Kameyama
We introduce a Poincaré polynomial with two-variable and for knots, derived from Khovanov homology, where the specialization is a Vassiliev invariant…
math.GT2019★ 9 cited
Cyclotomic expansions of HOMFLY-PT colored by rectangular Young diagrams
Masaya Kameyama, Satoshi Nawata, Runkai Tao +1
We conjecture a closed-form expression of HOMFLY-PT invariants of double twist knots colored by rectangular Young diagrams where the twist is encoded in interpolation Macdonald pol…