Hodge-Gromov-Witten theory
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866910041806733312 |
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| author | Guéré, Jérémy |
| author_facet | Guéré, Jérémy |
| contents | We determine the all-genus Hodge-Gromov-Witten theory of a smooth hypersurface in weighted projective space defined by a chain or loop polynomial. In particular, we obtain the first genus-zero computation of Gromov-Witten invariants for hypersurfaces in non-Gorenstein ambiant spaces, where the convexity property fails. We extend it to any weighted projective hypersurface defined by an invertible polynomial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1908_11409 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Hodge-Gromov-Witten theory Guéré, Jérémy Algebraic Geometry 14N35 We determine the all-genus Hodge-Gromov-Witten theory of a smooth hypersurface in weighted projective space defined by a chain or loop polynomial. In particular, we obtain the first genus-zero computation of Gromov-Witten invariants for hypersurfaces in non-Gorenstein ambiant spaces, where the convexity property fails. We extend it to any weighted projective hypersurface defined by an invertible polynomial. |
| title | Hodge-Gromov-Witten theory |
| topic | Algebraic Geometry 14N35 |
| url | https://arxiv.org/abs/1908.11409 |