Complex Manifolds Becoming Gaussian

Let us initially consider two different orbifold eigensets, -- that are here to act as complex manifolds, relative to one another.  Next, let us consider that there is to ensue -- the Fourier-related action of a Li-based Hamiltonian operator upon the contingent field, that is Yukawa to the covariant homotopic field, that is proximal local to both of the so-eluded-to orbifold eigensets that are of such a said respective case.  Let us now say, that the kinematic activity of the earlier mentioned Li-based Hamiltonian operator of this given arbitrary substringular situation -- is to alter both the covariant, the codifferentiable, and the codeterminable angling of the two Ward-Cauchy-based manifolds, that are here to have been initially Nijenhuis, -- the one to the other, -- in such a manner, to where the two different said orbifold eigensets are now to be of the same universal setting, when this is here to be taken in respect with one another.  At this metrically-related point in time -- both of the said orbifold eigensets may now be said to share the same general Gaussian tense of being Real Reimman spaces, the one to the other.  This will then work to help at making the two different said orbifold eigensets, to no longer be of a complex nature, when this is taken as a Reimman-based relationship of the one so-eluded-to manifold of coherent spaces to the other so-eluded-to manifold of coherent spaces.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Group-Attractors And Norm-State-Projections

Norm-State-Projections may often act -- in so as to produce a general tense of a wave-tug, of which may act as a very general genus of a group-attractor.  Such a general tense of a group-attractor, may then work to act -- in so as to delineate discrete quanta of energy, into the general form of an orbifold eigenset.  This is if the topological stratum, that is here to be both covariant, codeterminable, and codifferentiable between those discrete quanta of energy, that are here to be tugged together, -- is to be having either an increasing scalar magnitude or an increasing scalar amplitude of a general Yukawa-related bonding.  Such an increase in either the scalar magnitude or the scalar amplitude of a general Yukawa-related bonding, may often be related to a correlative Real Reimman relationship, that is to exist between the correlative complex-roots that these are to bear -- among their Lagrangian-based Chern-Simons singularities -- that these initially individually taken discrete quanta of energy had worked to form, immediately prior to the Fourier-based activity of the said norm-state-projections that are here to act as a group-attractor, that are here to have had acted upon the earlier mentioned discrete quanta of energy, that are here to subsequently bond at the relatively proximal locus of one discrete orbifold eigenset.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

A Little As To The Mathematics Of Cohomology

When one is to work to derive those mathematical expressions -- that are here to be utilized in so as to help at describing cohomological eigenindices and cohomological eigenstates, -- one is to initially work to derive what I term of here as being the respective given arbitrary genus of a "knotting" equation.  Such a said "knotting" equation is here to be contingent upon a Real Reimman manifold, of which is named here as "W."  If one is to try to derive a correlative Complex manifold G(c), one may take one or more Li-operators to be applied upon the said W manifold, in order to get the said G(c) manifold -- in the process of working to determine such a general condition.  In the process of working to derive such so-inferred knotting equations, one is here to be working to translate one given arbitrary Minkowski Space into a correlative given arbitrary Hilbert Space.  I can think of six general genre of knotting equations from the "top of my head."  These would be:  One for an f-field, one for a d-field, one for a p-field, one for a graviton field, one for a gravitino field, and one for a neutrino field.  This may be enough for you to digest for now.
I will continue with the suspense later!  To Be Continued!  Samuel David Roach.