Tropical moduli spaces as symmetric Delta-complexes
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866909447784235008 |
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| author | Allcock, Daniel Corey, Daniel Payne, Sam |
| author_facet | Allcock, Daniel Corey, Daniel Payne, Sam |
| contents | We develop techniques for studying fundamental groups and integral singular homology of symmetric Delta-complexes, and apply these techniques to study moduli spaces of stable tropical curves of unit volume, with and without marked points. As one application, we show that Delta_g and Delta_{g,n} are simply connected, for positive g. We also show that Delta_3 is homotopy equivalent to the 5-sphere, and that Delta_4 has 3-torsion in H_5. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1908_08171 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Tropical moduli spaces as symmetric Delta-complexes Allcock, Daniel Corey, Daniel Payne, Sam Algebraic Geometry Geometric Topology 14T05, 14H10, 57Q05 We develop techniques for studying fundamental groups and integral singular homology of symmetric Delta-complexes, and apply these techniques to study moduli spaces of stable tropical curves of unit volume, with and without marked points. As one application, we show that Delta_g and Delta_{g,n} are simply connected, for positive g. We also show that Delta_3 is homotopy equivalent to the 5-sphere, and that Delta_4 has 3-torsion in H_5. |
| title | Tropical moduli spaces as symmetric Delta-complexes |
| topic | Algebraic Geometry Geometric Topology 14T05, 14H10, 57Q05 |
| url | https://arxiv.org/abs/1908.08171 |