Holomorphic Direction Of Orbifold Eigenset

Let us consider the tendency for the holomorphic direction, of any one given arbitrary discrete energy quantum, that is of one particular genus of such a discrete quantum of energy.  (P.S.  The following is a general theoretical condition, in so as to help at eventually being able to understand what one is to be working towards, when one is here to be considering an actual case scenario).  Let us next, consider that there is to be a relatively large Hodge-Index -- as to the number of those discrete quanta of energy, that are to here to be present, from within the Ward-Cauchy-based bounds of one respective given arbitrary orbifold eigenset -- of which are to each be of that same general genus of discrete energy quanta, that the respective initially mentioned discrete quantum of energy was of, that I had brought-up at the beginning of this given post.  The influence that is to then to be attributed towards the holomorphicity of the respective given arbitrary orbifold eigenset, that is of the general genus, that is of the initially so-eluded-to genus of discrete energy quanta that I had inferred at the beginning of this post, will then tend to be the resultant average holomorphic direction, that is to then to be attributed to the net mean Lagrangian path, that one is to be able to extrapolate, -- when one is given the overall differential geometry that is to here to be related to the initial Laplacian-based Ward-Cauchy conditions -- that are here to be in correlation to the differential geometry of the initial substringular conditions, via which motion of the discrete energy quanta of the said orbifold eigenset is to be Yukawa to, over time. This will then help one to be able to then have a better ability to extrapolate the ensuing directoral-based holomorphicity of such a case, of the here said given arbitrary orbifold eigenset, over the ensuing sequential series of group-related instantons. I will continue with the suspense later!  To Be Continued! Sincerely, Sam Roach.