The Fifth Part of the Fifteenth Session of Course 14

When two-dimensional superstrings map out a trajectory, with only the existence of relatively transient ghosts, one may still call this format of mapping-out of the so-stated two-dimensional string -- whose mapping works to form a twisted shaft in the form of three-dimensional world-sheets, the said detection of the ghost anomalies -- as  formed by what is here the forward-holomorphic norm-states -- is Imaginary in this given scenario.  The two-dimensional world-sheets that work to form from the kinematic differentiation of one-dimensional superstrings often forms a twisted cylinder, because space not only displays jointal conditions, yet also, space also displays smooth curvedness.  The three-dimensional world-sheets that form from the kinematic differentiation of two-dimensional strings forms a twisted shaft, because space not only displays jointal conditions, yet also, space also displays smooth curvedness.  World-Sheets that are relatively Real Reimmanian are relatively limited in trajectory, because ghost anomalies are annhilated periodically in so as to balance gravitational force.  This causes the condition that both Real and Imaginary (Njenhuis here) cohomologies must always simultaneously exist.  Loci that display Imaginary cohomology are often shifted to display Real cohomology in other neighboring loci that involve multiple superstrings.  Homology that is between two and three-dimensional world-sheets is Imaginary, even when the directly corresponding Ward-Neumman conditions that exist here  in-between these given world-sheets is even.  The reason for this is because the Ward-Derichlet conditions of these world-sheets is centrally variant.  Central variance does not tend to allow for smooth interconnection.  As world-sheets codifferentiate, when involving Real-based ghost anomalies, the loci of the directly corresponding Real and Imaginary (Njenhuis) cohomology shifts in so as to allow the corelative superstrings and orbifolds to display differential tangencies in the multiple spatial dimensions that these said superstrings kinematically differentiate in.  I will continue with the suspense later, in the form of the test questions for this corresponding course!  Sincerely, Sam Roach.