A new HOMFLYPT-type invariant for pseudo links is defined via a resolution homomorphism in the pseudo Hecke algebra of type A that satisfies a pseudo skein relation and equals a weighted sum of classical HOMFLYPT invariants over all resolutions of the pre-crossings.
Hanaki, Pseudo diagrams of knots, links and spatial graphs,Osaka J
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A HOMFLYPT-type invariant for pseudo links via a resolution in Hecke algebras
A new HOMFLYPT-type invariant for pseudo links is defined via a resolution homomorphism in the pseudo Hecke algebra of type A that satisfies a pseudo skein relation and equals a weighted sum of classical HOMFLYPT invariants over all resolutions of the pre-crossings.