A Gromov-Witten approach to $G$-equivariant birational invariants
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911189630451712 |
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| author | Cavenaghi, Leonardo F. Grama, Lino Katzarkov, Ludmil |
| author_facet | Cavenaghi, Leonardo F. Grama, Lino Katzarkov, Ludmil |
| contents | In arXiv:2404.19088, we initiated a program linking birational invariants with smooth ones and offering new interpretations of classical invariants, such as the Kervaire-Milnor invariants. Here, we rely on the profound geometric reasoning provided by Lupercio and Uribe in the early 00s to establish a connection between Chen-Ruan cohomology and several $G$-birational invariants introduced in the pioneering works Kontsevich, Kresch, Pestun, Tschinkel, along with presenting applications. Combined with the theory of atoms by Katzarkov, Kontsevich, Pantev, and Yu, the proposal in this paper program will lead to a theory of equivariant atoms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07322 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Gromov-Witten approach to $G$-equivariant birational invariants Cavenaghi, Leonardo F. Grama, Lino Katzarkov, Ludmil Algebraic Geometry Mathematical Physics Differential Geometry Symplectic Geometry In arXiv:2404.19088, we initiated a program linking birational invariants with smooth ones and offering new interpretations of classical invariants, such as the Kervaire-Milnor invariants. Here, we rely on the profound geometric reasoning provided by Lupercio and Uribe in the early 00s to establish a connection between Chen-Ruan cohomology and several $G$-birational invariants introduced in the pioneering works Kontsevich, Kresch, Pestun, Tschinkel, along with presenting applications. Combined with the theory of atoms by Katzarkov, Kontsevich, Pantev, and Yu, the proposal in this paper program will lead to a theory of equivariant atoms. |
| title | A Gromov-Witten approach to $G$-equivariant birational invariants |
| topic | Algebraic Geometry Mathematical Physics Differential Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2405.07322 |