A Little Explanation As To the Morphologies

What I mean by the condition that Neilson-Kollosh ghosts bear a "hyperbolically toroidal" shape or morphology, is that the toroidal-based nature of the ghost anomalies that work to comprise any given arbitrary Neilson-Kolosh cohomological-based set of indices, tends to slope either hyperbolically inward -- in a converging genus of mappable tracing -- or, these often may slope hyperbollically outward -- in a diverging genus of mappable tracing, as such a format or genus of a set of cohomological-based indices, that work to comprise any respective given arbitrary Neilson-Kollosh ghost anomaly, that may be traced in a mappable manner, through any given arbitrary Lagrangian-based path -- that the directly corresponding graviton or gravitino, that such a case scenario eludes to -- as such a respective given arbitrary graviton or gravitino is being propagated through, over time.  So, if one is dealing specifically with the Lagrangian-based path of a graviton -- the respective directly corresponding ghost anomaly that works to form the correlative set of cohomological-based indices -- will be formed in so as to make a mappable tracing of simply a given arbitrary toroidal-based configuration, that is either hyperbolically converging or hyperbollically diverging, that is homotopically Hilbert or volume-spaced, with an annulus --  throughout that region in whih such a ghost anomaly is formed, by the physical memory of the mappable tracing of the projection of the trajectory of the directly corresponding graviton, of this given arbitrary case scenario.  Yet, if one is, instead, dealing with the Lagrangian-based path of a gravitino, the respective directly corresponding ghost anomaly that works to form the correlative set of cohomological-based indices -- will be formed, in so as to make a mappable tracing, that may be extrapolated as being the shape of the perimeter of a given arbitrary toroidal-based annulus of a configuration that is either hyperbolically Minkowski or flat-spaced, in either a relatively holomorphic-based converging manner or in a relatively holomorphic-based diverging manner -- throughout that region in which such a ghost anomaly is formed, by the physical memory of the mappable tracing of the projection of the trajectory of the directly corresponding gravitino of this given arbitrary case scenario.  The reason being -- that, any given arbitrary graviton works to bear more of a transversal-based angular Hamiltonian-based fractal of momentum in the substringular, whereas, any given arbitrary gravitino works to bear more of a radial-based Hamiltonian-based fractal of momentum in the substringular.  To Be Continued!  Sam.