Representation stability for pure braid group Milnor fibers
Jeremy Miller, Philip Tosteson
TL;DR
This paper establishes a representation stability result for the Milnor fiber of the pure braid group, linking previous work to modern stability concepts and computing its stable integral homology.
Contribution
It introduces a novel stability result for the pure braid group Milnor fiber and computes its stable integral homology, answering a question in the field.
Findings
Proves a representation stability result for the Milnor fiber
Connects previous work to Church--Ellenberg--Farb stability
Computes the stable integral homology of the Milnor fiber
Abstract
We prove a representation stability result for the Milnor fiber associated to the pure braid group. Our result connects previous work of Simona Settepenella to representation stability in the sense of Church--Ellenberg--Farb, answering a question of Graham Denham. We also use our result to compute the stable integral homology of the Milnor fiber.
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