Some More Stuff About The First Session of Course 16

Imaginary or Njenhuis cohomology may be described of as a Chern-Simmons cohomology, since this type of joining of world-sheet-based mapped-out tracings works to either inovlve one or more jointal-based permutations, one or more rounded permutations, or one or more different tenses of dimensionality to the directly corresponding world-sheets -- on either side of the multiplicit geni of singularities that may be delineated, in the process of the formation of the eluded to Chern-Simmons cohomological-based structures that are possible in the kinematic propagation of space-time-fabric. Often, when a Chern-Simmons-based cohomology is formed, the ghost anomalies that are here directly involved are formed in a propagation that is at least partially off of the relative respective Real Reimmanian plane.  Often, one may extrapolate a cohomology that is intrinsically hermitian, yet, such a binding of ghost anomalies may still be propagated over time in a Njenhuis directoral pull that is off of the relative respective Real Reimmanian plane.  On account of the necessity of a change in derivatives that is needed in order for such a tensoric directoral pull to take effect, in consideration of the directly prior said state of conditions, the latter scenario that I have just eluded to will tend to bear a Chern-Simmons spike -- in the form of a singularity that is physically delineated as a spike in terms of localized placement -- in so that this format of cohomological genus will also be a situation that is likewise Imaginary, or, in other words, this type of cohomology will be a genus of a Doubolt cohomology.  Without any Chern-Simmons spur that is either a spike in the Lagrangian-based directoral flow of a traceable cohomology, and/or a spike in the metrical-based harmonic-based flow of a traceable cohomology, such a cohomology may be described of as a Rham cohomology.  Otherwise, a cohomology -- that bears Chern-Simmons-based singularities along the mappable traceing of the directly associated flow of any ghost anomaly-based projection, may be viewed of what may be termed of as a Doubolt cohomology.  I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.