Honghuai Fang

activity

20222024

collaborators

3 papers

math.QA2024

An edge-type state integral over local field and A-polynomials

Honghuai Fang

To each local field, Garoufalidis and Kashaev recently associate a quantum dilogarithm that satisfies a pentagon identity and some symmetries. By employing an angled version of the…

math.QA2023

$S O (3)$ -Berezin-Toeplitz quantization and the AJ conjecture

Honghuai Fang

We investigate the Berezin-Toeplitz operators that operate on the geometric quantized space corresponding to the $S O (3)$ -Witten-Chern-Simons theory. We conjecture that the $S O (3)$ -…

math-ph2022

SO(3)-Knot States and the Volume Conjecture

Honghuai Fang

We study the alternating subspace of holomorphic sections of a special prequantum line bundle over SU(2)-character variety of torus, and show that it is isomorphic to the projectiv…

An edge-type state integral over local field and A-polynomials

SO(3)-Berezin-Toeplitz quantization and the AJ conjecture

SO(3)-Knot States and the Volume Conjecture

$S O (3)$ -Berezin-Toeplitz quantization and the AJ conjecture