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no. 3
Representation stability for marked graph complexes
Fedah, Enoch1; Ward, Benjamin C.1
1Bowling Green State University, Dept. of Mathematics and Statistics, 1001 E. Wooster St., Bowling Green, OH 43403 (USA)
Algebraic Combinatorics, Volume 9 (2026) no. 3, pp. 865-892

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.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/alco.487
Classification: 18G85 (primary), 05E18 (secondary)
Keywords: graph complexes, representation stability

Fedah, Enoch  1 ; Ward, Benjamin C.  1

1 Bowling Green State University, Dept. of Mathematics and Statistics, 1001 E. Wooster St., Bowling Green, OH 43403 (USA)
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
Fedah, Enoch; Ward, Benjamin C. Representation stability for marked graph complexes. Algebraic Combinatorics, Volume 9 (2026) no. 3, pp. 865-892. doi: 10.5802/alco.487
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