Singular Lie filtrations and weightings
Yiannis Loizides, Eckhard Meinrenken
TL;DR
This paper explores weightings from manifolds with singular Lie filtrations, extending previous work on regular filtrations to more general, singular cases, thereby broadening the theoretical framework of Lie structures.
Contribution
It introduces a generalization of quasi-homogeneous structures to manifolds with singular Lie filtrations, expanding the scope of prior regular filtration theories.
Findings
Extended the theory of weightings to singular Lie filtrations.
Generalized constructions from regular to singular cases.
Provided new insights into the structure of manifolds with singular Lie filtrations.
Abstract
We study weightings (a.k.a. quasi-homogeneous structures) arising from manifolds with singular Lie filtrations. This generalizes constructions of Choi-Ponge, Van Erp-Yuncken, and Haj-Higson for (regular) Lie filtrations.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology