Hyun Kyu Kim

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math.GT2025

Frobenius homomorphisms for stated $SL_{n}$ -skein modules

Hyun Kyu Kim, Thang T. Q. Lê, Zhihao Wang

The stated $SL_{n}$ -skein algebra $S_{q^} (S)$ of a surface $S$ is a quantization of the $SL_{n}$ -character variety, and is spanned over…

math.GT2024

Quantized Geodesic Lengths for Teichmüller Spaces: Algebraic Aspects

Hyun Kyu Kim

In 1980's H. Verlinde suggested to construct and use a quantization of Teichmüller spaces to construct spaces of conformal blocks for the Liouville conformal field theory. This sug…

Frobenius homomorphisms for stated SLn​-skein modules

Quantized Geodesic Lengths for Teichmüller Spaces: Algebraic Aspects

Frobenius homomorphisms for stated $SL_{n}$ -skein modules