A proof of the radial limit conjecture for Costantino–Geer–Patureau-Mirand quantum invariants
For a negative definite plumbed three-manifold, we give an integral representation of the appropriate average of the GPPV invariants of Gukov–Pei–Putrov–Vafa, which implies that this average admits a full asymptotic expansion, the leading term of which is the Costantino–Geer–Patureau-Mirand invariant of the three-manifold. This proves a conjecture of Costantino–Gukov–Putrov.
Authors
- Yuya Murakami (ORCID: https://orcid.org/0000-0001-7264-5404)
- William Elbæk Mistegård (ORCID: https://orcid.org/0000-0003-0786-5106)
Institutions
- Kyushu University (JP)
- University of Southern Denmark (DK)
- Region of Southern Denmark (DK)
Publication Details
- Journal
- Journal of Knot Theory and Its Ramifications
- Published
- 2025-11-20
- DOI
- https://doi.org/10.1142/s021821652550097x
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00