Part Three of the Fifteenth Session of Course 14 About Group Action

When it comes to open, or fermionic, superstrings, one may be able to describe the mapping of a one-dimensional superstring of discrete plain kinetic energy permittivity -- whose mapping forms a twisted cylinder, when one considers the added spatial dimensionality of the added cyclic permutative unitary field networking that stems from the kinematic directoralization of the directly corresponding genus of superstring being redelineated through a discrete Hamiltonian-based Lagrangian, as a strand-based phenomenon that works to exhibit a sequential series of redistributed mini-string segments that would have here circulated around a conformally exactified radial Ward-Caucy hoop-like spatial trejectory.  This trajectory of which is here redelineated in a circular manner around the bounds of the Poincaire region that is exhibited by a sequential series of placements that the said one-dimensional superstring occupies per iteration of group instanton.  So, as the said one-dimensional superstring is projected as a trajectory of holonomic substrate over a given arbitrary metical-based set of instantons, the said unitary-based inter-bound radial arcing  that works to comprise the exterial field of the just mentioned superstring is reiterated and redistributed as such a closed field-based loop, that is exhibited as the outer Poincaire boundary of the Hamiltonian-based field density of the said superstring.  This happens as the string is covariant in kinematic eigenindex per instanton.  So, as the said superstring of discrete plain kinetic energy permittivity bears the activity of wave-tug, in so as to perturbate in its parity after the genus of its directoral parity is pulled spontaneously into a different tense of holonomic directoral index, the cylindical mode of the given arbitrary Hamiltonian-based field density of the eigenstructure of the holonomic substrate of the world-sheet -- that directly relates to the directly corresponding one-dimensional superstring -- forms an anharmonic spur in both its vibratorial-based directoral propagation and its metrical-based Lagrangian of its directoral propagation. This spurious and non-hermitian fluctuation is the sequential series of the redelineation of the said field density, that is of the genus of the said given arbitrary one-dimensional superstring of this scenario -- which is the case of which I have been describing here.  Such an eluded to activity works to form a kinematic extrapolation of a twisting cylinder.  As the Hamiltonian operation of the said kinematic extrapolation of the structure that here behaves as a twisting cylinder in space is projected through the eluded to trajectory, this works to form ghost anomalies that work to indicate the here described and eluded to motion of and the existence of the mentioned Hamiltonian field density of the said one-dimensional superstring of discrete plain kinetic energy permittivity.  Again, it is the Gliossi interaction of certain given arbitrary relatively forward-holomorphic moving norm-states with the corresponding superstrings, that interact in a harmonic-based scattering that works to form the mentioned ghost anomalies.  The interaction and bonding of ghost anomaly-based indices works to form either a Rham and/or a Doubolt ghost-based cohomology.  I will continue with the suspense later!  Sincerely, Sam Roach.