Algebraic aspects of holomorphic quantum modular forms
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929418715267072 |
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| author | An, Ni Garoufalidis, Stavros Li, Shana Yunsheng |
| author_facet | An, Ni Garoufalidis, Stavros Li, Shana Yunsheng |
| contents | Matrix-valued holomorphic quantum modular forms are intricate objects that arise in successive refinements of the Volume Conjecture of knots and involve three holomorphic, asymptotic and arithmetic objects. It is expected that the algebraic properties of these objects can be deduced from the algebraic properties of descendant state integrals, and we illustrate this for the case of the $(-2,3,7)$-pretzel knot. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_02880 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Algebraic aspects of holomorphic quantum modular forms An, Ni Garoufalidis, Stavros Li, Shana Yunsheng Geometric Topology High Energy Physics - Theory Matrix-valued holomorphic quantum modular forms are intricate objects that arise in successive refinements of the Volume Conjecture of knots and involve three holomorphic, asymptotic and arithmetic objects. It is expected that the algebraic properties of these objects can be deduced from the algebraic properties of descendant state integrals, and we illustrate this for the case of the $(-2,3,7)$-pretzel knot. |
| title | Algebraic aspects of holomorphic quantum modular forms |
| topic | Geometric Topology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.02880 |