Connectedness of families of sphere covers of An-type

This html file covers four main topics of the paper, and it illustrates those topics with cases n=5 and n=13 displayed graphically by the sh-incidence matrix and the theory of cusps in the paper.
  1. Computing the genus of the inner and absolute spaces through the computations that list the cusps and the elliptic fixed points.
  2. Computing the absolute and inner sh-incidence matrices.
  3. The identification of cusp structures called spires that are isomorphic to the cusp structures on modular curve towers.
  4. Comments on how to approach higher MT levels for the complete set of primes that appear in Alternating group pure-cycle Nielsen classes.