Hyun Kyu Kim

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All published works

Action	Title	Year	Authors
+ PDF Chat	Naturality of ${\rm SL}_n$ quantum trace maps for surfaces	2024	Hyun Kyu Kim Zhihao Wang
+	Naturality of $\mathrm{SL}_{3}$ quantum trace maps for surfaces	2024	Hyun Kyu Kim
+	A Quantization of Moduli Spaces of 3-Dimensional Gravity	2024	Hyun Kyu Kim Carlos Scarinci
+ PDF Chat	Quantized geodesic lengths for Teichm\"uller spaces: algebraic aspects	2024	Hyun Kyu Kim
+ PDF Chat	Three-Dimensional Quantum Gravity from the Quantum Pseudo-Kähler Plane	2023	Hyun Kyu Kim
+ PDF Chat	SL2 quantum trace in quantum Teichmüller theory via writhe	2023	Hyun Kyu Kim Thang T. Q. Lê Miri Son
+	A trilogy of mapping class group representations from three-dimensional quantum gravity	2023	Hyun Kyu Kim
+	Three dimensional construction of the Virasoro-Bott group	2021	Igor Frenkel Hyun Kyu Kim
+ PDF Chat	Irreducible self-adjoint representations of quantum Teichmüller space and the phase constants	2021	Hyun Kyu Kim
+	The mutation compatibility of the ${\rm SL}_3$ quantum trace maps for surfaces	2021	Hyun Kyu Kim
+	Three-dimensional quantum gravity from the quantum pseudo-Kähler plane	2021	Hyun Kyu Kim
+	A quantization of moduli spaces of 3-dimensional gravity	2021	Hyun Kyu Kim Carlos Scarinci
+	Three dimensional construction of the Virasoro-Bott group	2021	Igor Frenkel Hyun Kyu Kim
+	${\rm SL}_3$-laminations as bases for ${\rm PGL}_3$ cluster varieties for surfaces	2020	Hyun Kyu Kim
+ PDF Chat	Phase constants in the Fock–Goncharov quantum cluster varieties	2020	Hyun Kyu Kim
+	Irreducible self-adjoint representation of quantum Teichmüller space and phase constants	2020	Hyun Kyu Kim
+	${\rm SL}_3$-laminations as bases for ${\rm PGL}_3$ cluster varieties for surfaces	2020	Hyun Kyu Kim
+ PDF Chat	Laurent Positivity of Quantized Canonical Bases for Quantum Cluster Varieties from Surfaces	2019	So Young Cho Hyuna Kim Hyun Kyu Kim Do-Eun Oh
+ PDF Chat	Finite dimensional quantum Teichmüller space from the quantum torus at root of unity	2018	Hyun Kyu Kim
+ PDF Chat	Comments on Exchange Graphs in Cluster Algebras	2018	Hyun Kyu Kim Masahito Yamazaki
+	${\rm SL}_2$ quantum trace in quantum Teichmüller theory via writhe	2018	Hyun Kyu Kim Miri Son
+ PDF Chat	Quasiphantom categories on a family of surfaces isogenous to a higher product	2016	Hyun Kyu Kim Yun-Hwan Kim Kyoung-Seog Lee
+	A duality map for quantum cluster varieties from surfaces	2016	Dylan G. L. Allegretti Hyun Kyu Kim
+	The dilogarithmic central extension of the Ptolemy–Thompson group via the Kashaev quantization	2016	Hyun Kyu Kim
+	Phase constants in the Fock-Goncharov quantization of cluster varieties	2016	Hyun Kyu Kim
+	Phase constants in the Fock-Goncharov quantization of cluster varieties: long version	2016	Hyun Kyu Kim
+	Phase constants in the Fock-Goncharov quantization of cluster varieties: long version	2016	Hyun Kyu Kim
+ PDF Chat	Ratio coordinates for higher Teichmüller spaces	2015	Hyun Kyu Kim
+	Fast algorithms of anisotropic diffusion filters for parallel processors	2013	Hyun Kyu Kim Hyo Jong Lee
+	Performance of the Finite Difference Method Using Cache and Shared Memory for Massively Parallel Systems	2013	Hyun Kyu Kim Hyo Jong Lee
+ PDF Chat	Quantum Teichmüller space from the quantum plane	2012	Igor Frenkel Hyun Kyu Kim
+	Construction of Co_1 from an irreducible subgroup M_{24} of GL_{11}(2)	2009	Hyun Kyu Kim Gerhard O. Michler
+	Construction of Fischer's sporadic group Fi'_{24} inside GL_{8671}(13)	2009	Hyun Kyu Kim Gerhard O. Michler
+	Representation theoretic existence proof for Fischer group Fi_{23}	2009	Hyun Kyu Kim
+ PDF Chat	Simultaneous constructions of the sporadic groups 𝐶𝑜₂ and 𝐹𝑖₂₂	2008	Hyun Kyu Kim Gerhard O. Michler

Common Coauthors

Coauthor	Papers Together
Igor Frenkel	3
Gerhard O. Michler	3
Miri Son	2
Hyo Jong Lee	2
Carlos Scarinci	2
So Young Cho	1
Zhihao Wang	1
Hyuna Kim	1
Yun-Hwan Kim	1
Do-Eun Oh	1
Kyoung-Seog Lee	1
Thang T. Q. Lê	1
Dylan G. L. Allegretti	1
Masahito Yamazaki	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The quantum dilogarithm and representations of quantum cluster varieties	2008	V. V. Fock A. B. Goncharov	14
+ PDF Chat	Moduli spaces of local systems and higher Teichmüller theory	2006	V. V. Fock A. B. Goncharov	12
+	A duality map for quantum cluster varieties from surfaces	2016	Dylan G. L. Allegretti Hyun Kyu Kim	10
+	None	1998	Rinat Kashaev	10
+ PDF Chat	QUANTUM DILOGARITHM	1994	L. D. Faddeev Rinat Kashaev	9
+ PDF Chat	A quantum Teichmüller space	1999	V. V. Fock Leonid Chekhov	9
+ PDF Chat	Cluster ensembles, quantization and the dilogarithm	2009	V. V. Fock A. B. Goncharov	9
+ PDF Chat	QUANTUM EXPONENTIAL FUNCTION	2000	S. L. Woronowicz	8
+ PDF Chat	Cluster algebras and triangulated surfaces. Part I: Cluster complexes	2008	Sergey Fomin Michael Shapiro Dylan P. Thurston	8
+ PDF Chat	Discrete Heisenberg-Weyl Group and modular group	1995	L. D. Faddeev	8
+	The dilogarithmic central extension of the Ptolemy–Thompson group via the Kashaev quantization	2016	Hyun Kyu Kim	8
+	Dual Teichm\" uller spaces	1997	V. V. Fock	7
+	VI. The theory of the double gamma function	1901	E. W. Barnes	7
+ PDF Chat	Quantum cluster algebras	2004	Arkady Berenstein Andrei Zelevinsky	6
+	Decorated Teichmüller Theory	2011	Robert Penner	6
+ PDF Chat	Phase constants in the Fock–Goncharov quantum cluster varieties	2020	Hyun Kyu Kim	6
+ PDF Chat	Classical and Quantum Dilogarithm Identities	2011	Rinat Kashaev Tomoki Nakanishi	6
+	The decorated Teichm�ller space of punctured surfaces	1987	Robert Penner	6
+ PDF Chat	Central extensions of the Ptolemy-Thompson group and quantized Teichmüller theory	2010	Louis Funar Vlad Sergiescu	6
+	Pentagon Relation for the Quantum Dilogarithm and Quantized M 0,5 cyc	2008	A. B. Goncharov	6
+	Canonical bases for cluster algebras	2017	Mark Gross Paul Hacking Seán Keel Maxim Kontsevich	6
+ PDF Chat	Comments on Exchange Graphs in Cluster Algebras	2018	Hyun Kyu Kim Masahito Yamazaki	5
+	Cluster algebras I: Foundations	2001	Sergey Fomin Andrei Zelevinsky	5
+ PDF Chat	Ratio coordinates for higher Teichmüller spaces	2015	Hyun Kyu Kim	5
+ PDF Chat	Laurent Positivity of Quantized Canonical Bases for Quantum Cluster Varieties from Surfaces	2019	So Young Cho Hyuna Kim Hyun Kyu Kim Do-Eun Oh	5
+ PDF Chat	ON THE SPECTRUM OF DEHN TWISTS IN QUANTUM TEICHMÜLLER THEORY	2001	Rinat Kashaev	5
+ PDF Chat	Strongly Coupled Quantum Discrete Liouville Theory.¶I: Algebraic Approach and Duality	2001	L. D. Faddeev Rinat Kashaev A. Yu. Volkov	5
+	SIMPLE GROUPS OF LIE TYPE	1975	I. G. Macdonald	4
+	Unbounded Self-adjoint Operators on Hilbert Space	2012	Konrad Schmüdgen	4
+	The pentagon relation for the quantum dilogarithm and quantized M_{0,5}	2007	A. B. Goncharov	4
+ PDF Chat	Quantum Teichmüller space from the quantum plane	2012	Igor Frenkel Hyun Kyu Kim	4
+ PDF Chat	Quantum traces for representations of surface groups in SL<sub>2</sub>(ℂ)	2011	Francis Bonahon Helen Wong	4
+ PDF Chat	THE QUANTUM TEICHMÜLLER SPACE AS A NONCOMMUTATIVE ALGEBRAIC OBJECT	2009	Xiaobo Liu	4
+	Theory of Finite Simple Groups	2006	Gerhard O. Michler	4
+	Ribbon graphs and their invaraints derived from quantum groups	1990	Nicolai Reshetikhin Vladimir G. Turaev	4
+ PDF Chat	Central extension of mapping class group via Chekhov–Fock quantization	2016	Binbin Xu	4
+	Universal Constructions in Teichmüller Theory	1993	Robert Penner	4
+	Die Eindeutigkeit der Schrödingerschen Operatoren	1931	J. v. Neumann	4
+	The modular characters of the Mathieu groups	1973	Gordon James	4
+	The theory of the double gamma function	1900	E. W. Barnes	4
+	Skew Fields: Theory of General Division Rings	1995	P. M. Cohn	3
+	Quantum Teichm\"uller space	1999	Leonid Chekhov V. V. Fock	3
+ PDF Chat	QUANTUM TEICHMÜLLER SPACES AND QUANTUM TRACE MAP	2017	Thang T. Q. Lê	3
+ PDF Chat	Quantum Holonomies from Spectral Networks and Framed BPS States	2016	Maxime Gabella	3
+	Low Rank Representations and Graphs for Sporadic Groups	1996	Cheryl E. Praeger Leonard H. Soicher	3
+ PDF Chat	Spiders for rank 2 Lie algebras	1996	Greg Kuperberg	3
+ PDF Chat	Cluster Ensembles, Quantization and the Dilogarithm II: The Intertwiner	2009	V. V. Fock A. B. Goncharov	3
+	Automorphism group computation and isomorphism testing in finite groups	2003	John J. Cannon Derek F. Holt	3
+	Phase constants in the Fock-Goncharov quantization of cluster varieties	2016	Hyun Kyu Kim	3
+	An analog of a modular functor from quantized Teichm"uller theory	2005	Jörg Teschner	3