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arXiv · 2609.12589

On symplectic aspects of $μ$-equivalence of a class of isolated hypersurface singularities

Chris Peters
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Abstract

A $μ$-constant deformation of isolated complex hypersurface singularities of dimensions different from 2 preserves the diffeomorphism class of the Milnor fiber. If it would be known that $μ$-constant deformations have no vanishing folds as defined in by O'Shea, this result is even true in all dimensions since the members in the family would have a common Milnor ball-radius. In this note a symplectic version of this is shown which in particular applies to weighted homogeneous polynomial singularities.

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Chris Peters. 2026-09-11. On symplectic aspects of $μ$-equivalence of a class of isolated hypersurface singularities. https://arxiv.org/abs/2609.12589

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