41 citations · 111 across the 22 of their papers we have counts for
4 papers · 1 filter
A trilogy of mapping class group representations from three-dimensional quantum gravity
Hyun Kyu Kim
For a punctured surface , the author and Scarinci (arXiv:2112.13329) have recently constructed a quantization of a moduli space of Lorentzian metrics on the 3-manifol…
Three dimensional construction of the Virasoro-Bott group
Igor B. Frenkel, Hyun Kyu Kim
We present a three-dimensional geometric construction of the Virasoro-Bott group, which is a central extension of the group of diffeomorphisms of the circle. Our approach is analog…
quantum trace in quantum Teichmüller theory via writhe
Hyun Kyu Kim, Thang T. Q. Lê, Miri Son
Quantization of the Teichmüller space of a punctured Riemann surface is an approach to -dimensional quantum gravity, and is a prototypical example of quantization of cluster…
Laurent positivity of quantized canonical bases for quantum cluster varieties from surfaces
So Young Cho, Hyuna Kim, Hyun Kyu Kim +1
In 2006, Fock and Goncharov constructed a nice basis of the ring of regular functions on the moduli space of framed -local systems on a punctured surface . The modu…