Stability properties of moduli spaces
Rita Jimenez Rolland, Jennifer C.H. Wilson
TL;DR
This paper surveys the stability properties of various moduli spaces, emphasizing braid groups and configuration spaces, to understand their structural behaviors and invariants.
Contribution
It provides a comprehensive overview of stability phenomena in moduli spaces related to braid groups and configuration spaces, highlighting recent developments.
Findings
Identification of stability ranges for certain moduli spaces
Connections between braid group actions and stability properties
Insights into the topology of configuration spaces
Abstract
We survey stability properties of several families of moduli spaces, with a focus on braid groups and configuration spaces.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory