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arXiv · 2505.05461

Representation Stability for Marked Graph Complexes

Enoch Fedah·Benjamin C. Ward
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Abstract

We prove a sharp representation stability result for graph complexes with a distinguished vertex, and prove that the chains realizing this sharp bound pass to non-trivial families of graph homology classes. This result may be interpreted as a higher genus generalization of Hersh and Reiner's stability bound for configuration spaces of points in odd dimensional Euclidean space.

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Enoch Fedah, Benjamin C. Ward. 2025-06-23. Representation Stability for Marked Graph Complexes. https://arxiv.org/abs/2505.05461

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