To construct families of weighted-homogeneous polynomials whose Milnor fibers exhibit arbitrarily high topological connectivity while remaining non-formal.
Combined the realization theorem of Fernández de Bobadilla with Grbić–Linton systematic Massey product constructions for moment-angle complexes.
Generated non-trivial n-fold Massey products in rational cohomology across arbitrary cohomological degrees to remove prior connectivity restrictions.
Computed the singular set dimensions for the constructed polynomial families to assess theoretical connectivity limits.
Produced weighted-homogeneous polynomials yielding non-formal Milnor fibers of arbitrary connectivity, extending beyond the previous 2-connected limitation.
Established the sharpness of the Kato–Matsumoto connectivity bound for the explicitly constructed polynomial families.