  We investigate properties of the odd Khovanov homology, compare and contrast
them with those of the original (even) Khovanov homology, and discuss
applications of the odd Khovanov homology to other areas of knot theory and
low-dimensional topology. We show that it provides an effective upper bound on
the Thurston-Bennequin number of Legendrian links and can be used to detect
quasi-alternating knots. A potential application to detecting transversely
non-simple knots is also mentioned.
