Honghuai Fang

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20222024

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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 $S O (3)$ -…

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

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

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