Symplectic Versus Khovanov Knotting Equations

When one is to work to determine the knotting equations for a system of cohomology, to where these so-eluded-to equations are here to work to be describing a symplectic geometry, -- the main difference that there is, between the formulation of this said cohomology and the formulation of a Legendre homology, is that, when determining a cohomology, one is here to be converting a Minkowski space into a Hilbert space; whereas, -- when one is to work to determine the knotting equations for a system of a Legendre homology,  to where these so-eluded-to equations are here to work to be describing a Khovanov geometry, -- the formulation of this said general genus of homology is as such, to where one is to instead, to be converting a Hilbert space into a Minkowski space.  To Be Continued!  Sincerely, Samuel David Roach.