Summability for State Integrals of hyperbolic knots
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866929568395296768 |
|---|---|
| author | Fantini, Veronica Wheeler, Campbell |
| author_facet | Fantini, Veronica Wheeler, Campbell |
| contents | We prove conjectures of Garoufalidis-Gu-Mariño that perturbative series associated with the hyperbolic knots $4_1$ and $5_2$ are resurgent and Borel summable. In the process, we give an algorithm that can be used to explicitly compute the Borel-Laplace resummation as a combination of state integrals of Andersen-Kashaev. This gives a complete description of the resurgent structure in these examples and allows for explicit computations of Stokes constants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_20973 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Summability for State Integrals of hyperbolic knots Fantini, Veronica Wheeler, Campbell Geometric Topology High Energy Physics - Theory Complex Variables We prove conjectures of Garoufalidis-Gu-Mariño that perturbative series associated with the hyperbolic knots $4_1$ and $5_2$ are resurgent and Borel summable. In the process, we give an algorithm that can be used to explicitly compute the Borel-Laplace resummation as a combination of state integrals of Andersen-Kashaev. This gives a complete description of the resurgent structure in these examples and allows for explicit computations of Stokes constants. |
| title | Summability for State Integrals of hyperbolic knots |
| topic | Geometric Topology High Energy Physics - Theory Complex Variables |
| url | https://arxiv.org/abs/2410.20973 |