Part Three of the Fourth Session of Course 17 About the Ricci Scalar

Both the topology and the cohomology of an orbifold is affected by gravity.  An orbifold eigenset is combined and interconnected to each orbifold, that works to comprise the so-stated orbifold eigenset.  The topology of a harmonic flowing orbifold -- that is not Chern-Simmons in its Lagrangian-based path trajectory, as the said orbifold is delineated from one given arbitrary location to the ensuing given arbitrary location -- is said to bear a natural tendency of hermicity, over the mappable tracing of the motion of the said given arbitrary orbifold, as it moves over time.  And if the given arbitrary orbifold has a magnetic response -- that is directly proportional to the Hodge-Index of that said orbifold, as it exists in its correlative orbifold eigenset, then, the connections that would exist in-between the said directly corresponding orbifolds will then have a unique type of a basis of singularity -- that does not necessarily belong to the same eigenbasis as all of the other individual orbifolds, that work to comprise the directly corresponding orbifold eigenset.  This is in so that the said given arbitrary orbifold in which we are primarily discussing here is acting within the Ward-Caucy bounds of a specific electrodynamic-based orbifold eigenset, that is, in this case, over the correlative given arbitrary group metric that I have eluded-to here.  This acts in so as to form a specific genus of some sort of Chern-Simmons effect upon the just eluded-to type of orbifold eigenset in question.  Yet, any given hermitian and/or paritially Chern-Simmons eigenbase of singularities that exists amongst the orbifolds that work to comprise any given arbitrary orbifold eigenset, is said to bear a certain degree of hermicity -- if the gravitational effect that exists upon the so-stated orbifold eigenset is steady, as this is in terms of both the Lagrangian-based wave-tug/wave-pull that is exerted upon it, and, also in terms of the group metrical harmonics that is also exerted upon the so-stated orbifold eigenset, over time.  This will be of a completely hermitian case, if there is no jerk in either the Lagrangian-based topological sway of the directly corresponding Rarita Structure eigenstates, that are directly applicable to the correspondence of the interactivity of gravitons and gravitinos upon the given arbitrary orbifold, as is also the case if there is no annharmonic-based spur in the group metrical-based activity, that would here be involved in the so-eluded-to interactivity of gravitons and gravitinos upon the given arbitrary orbifold, over any directly corresponding period of time in which the said orbifold exists as the Gaussian-based physically spatial-based Hamiltonian operator that it began as, over the said given arbitrary eluded-to time frame.  If there are none of  the just eluded-to Lagrangian-based singularities, and, if there are also none of the the just eluded-to metrical-based singularities, acting upon the here discussed orbifold eigenset -- over a specific directly corresponding period of time that is here pertainent, then, the so-stated orbifold eigenset is said to be both completely hermitian -- as well as Yau-Exact in its eigenbase of kinematic vibratorial oscillation, as it differentiates as a manifold of a specific set of superstrings that operate to perform a specific substringular function over time.
I will continue with the fifth session of this course later!  To Be Continued!  Sam Roach.