Legendre Versus Symplectic Homological Settings

Let us initially consider an open-looped superstring of discrete energy permittivity, that is here not to work to bear any tense of having what may be termed of as Majorana-Weyl-Invariant Spinors.  It has two distinct ends -- so it thereby has a discrete isotropic behavior, -- as being either of a Floer homology (to where such a resultant homology is to be stable in an isotropic manner), or of a Heggaerd homology (to where such a resultant homology is to be unstable in an isotropic manner).  When one is here to be talking about an open-looped superstring of discrete energy permittivity, that is here to be either of a Floer homological setting or of a Heggaerd homological setting -- one is then to have what may be termed of here as a Legendre homological setting.  However, when one is to have a superstring of discrete energy permittivity, that is to be of a closed-looped setting -- that is thereby of a bosonic-stringular nature, one is then said to have what may be termed of as a symplectic homological setting.  A superstring that is of a symplectic homological setting, is said to work to bear what is known of as a cohomological setting.  Superstrings that are of a cotangent bundle that is symplectic, have no specific distinct end-points, to where there is not to be a definitive isotopic behavior -- such as one is to have with a Legendre homological setting.  However, both a Floer homology and an symplectic cohomology may often generate as much homological indices as these degenerate, over an evenly-gauged Hamiltonian eigenmetric.  Most superstrings of discrete energy permittivity are of a closed-looped nature, and are thereby of a symplectic nature.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.