Hyun Kyu Kim

collaborators

3 papers

math.GT2024

A trilogy of mapping class group representations from three-dimensional quantum gravity

Hyun Kyu Kim

For a punctured surface $S$ , the author and Scarinci (arXiv:2112.13329) have recently constructed a quantization of a moduli space of Lorentzian metrics on the 3-manifol…

math-ph2024

A quantization of moduli spaces of 3-dimensional gravity

Hyun Kyu Kim, Carlos Scarinci

We construct a quantization of the moduli space $GH_{I^} (S \times R)$ of maximal globally hyperbolic Lorentzian metrics on $S \times R$ with constant section…

math.QA2024

Naturality of $SL_{3}$ quantum trace maps for surfaces

Hyun Kyu Kim

Fock-Goncharov's moduli spaces $X_{PGL_{3}, S}$ of framed $PGL_{3}$ -local systems on punctured surfaces $S$ provide prominent examples of cluster $\m…

A trilogy of mapping class group representations from three-dimensional quantum gravity

A quantization of moduli spaces of 3-dimensional gravity

Naturality of SL3​ quantum trace maps for surfaces

Naturality of $SL_{3}$ quantum trace maps for surfaces