Kyushu University Academic Staff Educational and Research Activities Database
List of Papers
Kazuhiro Hikami Last modified date:2023.11.13

Associate Professor / Division of Analysis / Faculty of Mathematics


Papers
1. Anna Beliakova, Kazuhiro Hikami, Non-semisimple invariants and Habiro's series, Topology and Geometry: A Collection of Essays Dedicated to Vladimir G. Turaev, 10.4171/IRMA/33-1/10, 161-174, IRMA Lectures in Mathematics and Theoretical Physics Vol. 33, 2021.06.
2. Kazuhiro Hikami , DAHA and skein algebra on surface: double-torus knots, Letters in Mathematical Physics , 10.1007/s11005-019-01189-5, 2019.06.
3. Kazuhiro Hikami, Note on Character Varieties and Cluster Algebras, SIGMA, 10.3842/SIGMA.2019.003, 15, 003, 32 pages, 2019.01.
4. Kazuhiro Hikami, Jeremy Lovejoy, Hecke-type formulas for families of unified Witten-Reshetikhin-Turaev invariants, Commun. Number Theory and Physics, 10.4310/CNTP.2017.v11.n2.a1, 11, 2, 249-272, 2017.08.
5. Kazuhiro Hikami, R. Inoue, Braids, complex volume and cluster algebras, Algebraic & Geometric Topology, 10.2140/agt.2015.15.2175, 15, 4, 2175-2194, 2015.08.
6. Kazuhiro Hikami, Jeremy Lovejoy, Torus knots and quantum modular forms, Research in the Mathematical Sciences, 10.1186/s40687-014-0016-3, 2, 2, 15 pages, 2015.01.
7. Kazuhiro Hikami, R. Inoue, Braiding operator via quantum cluster algebra, Journal of Physics A: Mathematical and Theoretical, 10.1088/1751-8113/47/47/474006, 47, 474006, 21 pages, 2014.11.
8. Kazuhiro Hikami, Rei Inoue, Cluster algebra and complex volume of once-punctured torus bundles and two-bridge links, Journal of Knot Theory and Its Ramifications, 10.1142/S0218216514500060, 23, 1, 1450006 [33 pages], 2014.03.
9. T. Eguchi, Kazuhiro Hikami, Enriques Moonshine, Journal of Physics A: Mathematical and Theoretical, 10.1088/1751-8113/46/31/312001, 46, 31, 312001, 11 pages, 2013.08.
10. T. Eguchi, K. Hikami, N=2 moonshine, Physics Letters B, 10.1016/j.physletb.2012.09.037, 717, 266--273, 2012.10.
11. T. Eguchi, K. Hikami, Twisted elliptic genus for K3 and Borcherds product, Letters in Mathematical Physics, 10.1007/s11005-012-0569-2, 102, 2, 203--222, 2012.10.
12. K. Hikami, H. Murakami, Representations and the Colored Jones Polynomial of a Torus Knot, Chern-Simons Gauge Theory: 20 Years After, AMS/IP Studies in Advanced Mathematics 50, 153--171, 2011.07.
13. K. Hikami, Decomposition of Witten-Reshetikhin-Turaev Invariant: linking pairing and modular forms, Chern-Simons Gauge Theory: 20 Years After, AMS/IP Studies in Advanced Mathematics 50, 131--151, 2011.07.
14. T. Eguchi, K. Hikami, Note on Twisted Elliptic Genus of K3 Surface, Physics Letters B, 10.1016/j.physletb.2010.10.017, 694, 446--455, 2011.03.
15. K. Bringmann, K. Hikami, J. Lovejoy, On the modularity of the unified WRT invariants of certain Seifert manifolds, Advances in Applied Mathematics, 10.1016/j.aam.2009.12.004, 46, 86--93, 2011.01.
16. B. Basu-Mallick, N. Bondyopadhaya, K. Hikami, One-Dimensional Vertex Models Associated with a Class of Yangian Invariant Haldane-Shastry Like Spin Chains, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 10.3842/SIGMA.2010.091, 6, 91, 13 pages, 2010.12.
17. T. Eguchi, K. Hikami, N=2 Superconformal Algebra and the Entropy of Calabi--Yau Manifolds , Letters in Mathematical Physics, 10.1007/s11005-010-0387-3, 92, 269--297, 2010.06.
18. T. Eguchi, K. Hikami, N=4 superconformal algebra and the entropy of hyperKähler manifolds, Journal of High Energy Physics, 10.1007/JHEP02(2010)019, 2010, 2, 19, 2010.02.
19. T. Eguchi, K. Hikami, Superconformal Algebras and Mock Theta Functions 2. Rademacher Expansion for K3 Surfaces, Communications in Number Theory and Physics, 3, 531--554, 2009.06.
20. T. Eguchi, K. Hikami, Superconformal Algebras and Mock Theta Functions, Journal of Physics A: Mathematical and Theoretical, 42, 304010, 23 pages, 2009.01.
21. K. Hikami, H. Murakami, Colored Jones Polynomial with Polynomial Growth, Communications in Contemporary Mathematics, 10, Suppl. 1, 815--834, 2008.06.
22. K. Hikami, Duality of Linking Pairing in Arnold's Singularities, Proceedings of Japan Academy, 84 Ser. A, 81--86, 2008.06.
23. K. Hikami, Skein Theory and Topological Quantum Registers: Braiding Matrices and Topological Entanglement Entropy of Non-Abelian Quantum Hall States, Annals of Physics, 323, 1729--1769, 2007.12.
24. K. Hikami, Asymptotics of the colored Jones polynomial and the A-polynomial, Nuclear Physics B, 10.1016/j.nuclphysb.2007.03.022, 773, 184--202, 2007.07.
25. K. Hikami, Hecke Type Formula for Unified Witten–Reshetikhin–Turaev Invariants as Higher-Order Mock Theta Functions, International Mathematics Research Notices, 10.1093/imrn/rnm022, 2007, rnm022, 2007.06.
26. B. Basu-Mallick, N. Bondyopadhaya, K. Hikami, D. Sen, Boson-Fermion Duality in SU(m|n) Supersymmetric Haldane-Shastry Spin Chain, Nuclear Physics B, 782, 276--295, 2007.06.
27. K. Hikami, Generalized Volume Conjecture and the A-Polynomial: the Neumann--Zagier Potential Function as a Classical Limit of Partition Function, Journal of Geometry and Physics, 57, 1895--1940, 2007.06.
28. K. Hikami, Quantum invariants, modular forms, and lattice points II, Journal of Mathematical Physics, 10.1063/1.2349484, 47, 102301, 32 pages, 2006.10.
29. K. Hikami, On the Quantum Invariants for the Spherical Seifert Manifolds, Communications in Mathematical Physics, 10.1007/s00220-006-0094-1, 268, 285--319, 2006.06.
30. K. Hikami, Transformation Formula of the “Second” Order Mock Theta Function, Letters in Mathematical Physics, 75, 93--98, 10.1007/s11005-005-0039-1, 2006.01.
31. K. Hikami, Mock (false) theta functions as quantum invariants , Regular & Chaotic Dynamics, 10, 509--530, 2005.06.
32. K. Hikami, Quantum invariant, modular form, and lattice points, International Mathematics Research Notices, 10.1155/IMRN.2005.121, 2005, 121--154, 2005.06.
33. K. Hikami, A. N. Kirillov, Hypergeometric Generating Function for L-Functions, Slater's Identities, and Quantum Knot Invariant , Algebra and Analysis, 17, 1, 190--208, 2005.01.