Abstract
We show that every family of isolated hypersurface singularities with constant Milnor number has constant multiplicity. To achieve this, we endow the A'Campo model of "radius zero" monodromy with a symplectic structure. This new approach allows us to generalize a spectral sequence of McLean converging to fixed point Floer homology of iterates of the monodromy to a more general setting that is well suited to study $\mu$-constant families.
Citation
Javier Fernández de Bobadilla. Tomasz Pełka. "Symplectic monodromy at radius zero and equimultiplicity of $\mu$-constant families." Ann. of Math. (2) 200 (1) 153 - 299, July 2024. https://doi.org/10.4007/annals.2024.200.1.4
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