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Stratifications on the Moduli Space of Higgs Bundles
The moduli space of Higgs bundles has two stratifications. The Bia lynickiBirula stratification comes from the action of the non-zero complex numbers by multiplication on the Higgs field, and the Shatz stratification arises ...
Geometrical correlation indices using homological constructions on manifolds
Abstract The course of dimensionality is a common problem in statistics and data analysis. Variable sensitivity analysis methods are a well studied and established set of tools designed to overcome these sorts of problems. ...