Thursday, December 1, 2011

About Different Forms of Cohomology

Let us take into consideration a specific arbitrary case of a cohomological scenario.
Let us consider a case in which there is one bosonic string that has a non-abelian light-cone-gauge topology with an antiholomorphic tendency that is at a given relatively limited number of instantons interbound with two bosonic strings that have an abelian light-cone-gauge topology with a holomorphic tendency.  The mentioned interbinding interaction is Yakawa, yet, the said binding is not completely Gliossi in terms of the relatively borne tangency that exists between these three interactive and covariant superstrings.  The topological stratum of the three Yakawa-based-interactive superstrings is separated by a multiplicit mini-string field network that allows just enough room in-between the holonomic topology of each individually considered superstrings so that each of the three mentioned superstrings may be able to undergo an eigencondition of a  Polyakov Action followed by an eigencondition of a Bette Action followed by an eigencondition of a Regge Action.  Such an interbinding here makes the three cohomologically-based superstrings to be non-orientable during the triune eigenmetric of Bette Action, yet, generally, the three described superstrings considered in this arbitrary case will normally, under these conditons, be orientable during the ensuing triune eigenmetric of Regge Action.  If the three mentioned superstrings taken individually are not orientable during the said Regge Action, the three said superstrings will then become tachyonic.  Yet, since under the initialy considered conditions, such superstrings taken individually will be orientable during the Regge Action in the process of  such strings going thru their Lagrangian-based operands, which are, in general, called the Regge Slope.  Each of such Lagrangian-based operands is an eigenregion in which superstrings that are not orientable during the Bette Action may become orientable under normal conditons.  If such a cohomology as originally mentioned is existant over a sequential series of instantons, then, the said cohomology is said here to differentiate in a Fourier manner according to Noether Flow.  The mentioned cohomology -- when one is to map out the theoretical overlapping that one may determine under Laplacian conditions that involves individual instantons -- would not directly overlap with pure chirality.  Thus, such a described coholomology is said to bear a non-trivial isomorphism in terms of the handedness of symmetry that one may determine via such a theoretical overlapping that one may map out during any particular Laplcain condition that would exist during the BRST portion of any given instanton. 
  Yet, since the symmetry here is non-trivially isomorphic, and, since the wave-tug of the two said bosonic superstrings that I described as having an abelian light-cone-gauge topology are angled acutely when one considers a Laplacian Wilson Line that is to be determined from the relative holomorphic endpoint of the non-abelian-based bosonic superstring that subtends in the relative holomorphic direction, the overall wave-tug forms a tense here of conformal invariance in terms of the general limited locus where the substringular cohomology exists over a said sequential series of instantons.  Yet, as an ansantz, the tendency of such a cohomological basis will tend to begin to relatively slowly propagate in the relatively holomorphic direction.  World-Sheets tend to form more of a Gliossi Yakawa-based cohomology when these phenomena interbind both in terms of Rham, Douboult, and also in terms of Rham-Douboult cohomological interaction.  You have a phenomenal day!  Sincerely, Sam Roach.                                                  

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