Representation Stability for Marked Graph Complexes
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918068809105408 |
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| author | Fedah, Enoch Ward, Benjamin C. |
| author_facet | Fedah, Enoch Ward, Benjamin C. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05461 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Representation Stability for Marked Graph Complexes Fedah, Enoch Ward, Benjamin C. Algebraic Topology Representation Theory 18G85 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. |
| title | Representation Stability for Marked Graph Complexes |
| topic | Algebraic Topology Representation Theory 18G85 |
| url | https://arxiv.org/abs/2505.05461 |