Author:
Chlouveraki M.,Goundaroulis D.,Kontogeorgis A.,Lambropoulou S.
Abstract
The Jones polynomial is a famous link invariant that can be defined diagrammatically via a skein relation. Khovanov homology is a richer link invariant that categorifies the Jones polynomial. Using spectral sequences, we obtain a skein-type relation satisfied by the Khovanov homology. Thanks to this relation, we are able to generalize the Khovanov homology in order to obtain a categorification of the θ-invariant, which is itself a generalization of the Jones polynomial.
Publisher
Cambridge University Press (CUP)
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