A tree formula for the ellipsoidal superpotential of the complex projective plane
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909178305445888 |
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| author | Siegel, Kyler |
| author_facet | Siegel, Kyler |
| contents | The ellipsoidal superpotential of the complex projective plane can be interpreted as a count of rigid rational plane curves of a given degree with one prescribed cusp singularity. In this note we present a closed formula for these counts as a sum over trees with certain explicit weights. This is a step towards understanding the combinatorial underpinnings of the ellipsoidal superpotential and its mysterious nonvanishing and nondecreasing properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14707 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A tree formula for the ellipsoidal superpotential of the complex projective plane Siegel, Kyler Symplectic Geometry 53D45, 14N35 The ellipsoidal superpotential of the complex projective plane can be interpreted as a count of rigid rational plane curves of a given degree with one prescribed cusp singularity. In this note we present a closed formula for these counts as a sum over trees with certain explicit weights. This is a step towards understanding the combinatorial underpinnings of the ellipsoidal superpotential and its mysterious nonvanishing and nondecreasing properties. |
| title | A tree formula for the ellipsoidal superpotential of the complex projective plane |
| topic | Symplectic Geometry 53D45, 14N35 |
| url | https://arxiv.org/abs/2404.14707 |