Large-genus asymptotics of saddle connection Siegel-Veech constants
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866911105028194304 |
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| author | Randecker, Anja |
| author_facet | Randecker, Anja |
| contents | Siegel-Veech constants are powerful tools for counting saddle connections on a translation surface. Their computation can be involved, most famously with recursive formulas that use intricate combinatorics or intersection theory. From these formulas, asymptotics of Siegel-Veech constants for growing genus can be extracted. We extend the known asymptotics to all strata and to all multiplicities of saddle-connections between distinct zeros and of loops. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_23711 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Large-genus asymptotics of saddle connection Siegel-Veech constants Randecker, Anja Geometric Topology Siegel-Veech constants are powerful tools for counting saddle connections on a translation surface. Their computation can be involved, most famously with recursive formulas that use intricate combinatorics or intersection theory. From these formulas, asymptotics of Siegel-Veech constants for growing genus can be extracted. We extend the known asymptotics to all strata and to all multiplicities of saddle-connections between distinct zeros and of loops. |
| title | Large-genus asymptotics of saddle connection Siegel-Veech constants |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2505.23711 |