Dubrovin conjecture and the second structure connection
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910648191942656 |
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| author | Morales, John Alexander Cruz Milanov, Todor |
| author_facet | Morales, John Alexander Cruz Milanov, Todor |
| contents | We give a reformulation of the Dubrovin conjecture about the semisimplicity of quantum cohomology in terms of the so-called second structure connection of quantum cohomology. The key ingredient in our work is the notion of a twisted reflection vector which allows us to give an elegant description of the monodromy data of the quantum connection in terms of the monodromy data of its Laplace transform. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09709 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dubrovin conjecture and the second structure connection Morales, John Alexander Cruz Milanov, Todor Algebraic Geometry High Energy Physics - Theory 14N35 We give a reformulation of the Dubrovin conjecture about the semisimplicity of quantum cohomology in terms of the so-called second structure connection of quantum cohomology. The key ingredient in our work is the notion of a twisted reflection vector which allows us to give an elegant description of the monodromy data of the quantum connection in terms of the monodromy data of its Laplace transform. |
| title | Dubrovin conjecture and the second structure connection |
| topic | Algebraic Geometry High Energy Physics - Theory 14N35 |
| url | https://arxiv.org/abs/2410.09709 |