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math.AT2026
Highly connected non-formal Milnor fibers via polyhedral products
Alexander I. Suciu
We show that the realization theorem of Fernández de Bobadilla, which identifies the Milnor fiber of a weighted-homogeneous polynomial with the complement of a germ of analytic set…
math.AT2026
Koszul modules, holonomy Lie algebras, and resonance of groups and CDGAs
Alexander I. Suciu
We develop a Koszul-theoretic framework for comparing classical Alexander-type invariants with infinitesimal invariants arising from finite-type commutative differential graded alg…
math.AT2026
Hyperplane arrangements with non-formal Milnor fibers
Alexander I. Suciu
Each complex hyperplane arrangement gives rise to a Milnor fibration of its complement. Building on work of Zuber, we give a combinatorial sufficient condition for th…