Aliakbar Daemi
Published 2015-08-31Version 1
A homological invariant of 3-manifolds is defined, using abelian Yang-Mills gauge theory. It is shown that the construction, in an appropriate sense, is functorial with respect to the families of 4-dimensional cobordisms. This construction and its functoriality are used to define several link invariants. The strongest version of these invariants has the form of a filtered chain complex that can recover Khovanov homology of the mirror image as a bi-graded group.
A 2-category of chronological cobordisms and odd Khovanov homology
Algorithm of construction of all knots, links with given number of crosses on diagram of knot, link, using braids
Two second Steenrod squares for odd Khovanov homology
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