Abstract
We construct a bigraded cohomology theory which depends on one parameter , and whose graded Euler characteristic is the quantum link invariant. We follow Bar-Natan’s approach to tangles on one side, and Khovanov’s theory for foams on the other side. Our theory is properly functorial under tangle cobordisms, and a version of the Khovanov invariant (or Lee’s modification of it) corresponds to (or ). In particular, the construction naturally resolves the sign ambiguity in the functoriality of Khovanov’s theory.
Citation
Carmen Livia Caprau. "sl(2) tangle homology with a parameter and singular cobordisms." Algebr. Geom. Topol. 8 (2) 729 - 756, 2008. https://doi.org/10.2140/agt.2008.8.729
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