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A 2-category of chronological cobordisms and odd Khovanov homology

A 2-category of chronological cobordisms and odd Khovanov homology

We create a framework for odd Khovanov homology in the spirit of Bar-Natan's construction for the ordinary Khovanov homology. Namely, we express the cube of resolutions of a link diagram as a diagram in a certain $2$-cat