Notes on the K3 Surface and the Mathieu group M_24

J. G. Thompson, “Some Numerology between the Fischer-Griess Monster and the Elliptic Modular Function,” Bull. London Math. Soc. 11

1979

Earlier work this paper cites.

J. H. Conway and S. P. Norton, “Monstrous Moonshine,” Bull. London Math. Soc. 11

1979

Earlier work this paper cites.

J. Conway, R. Curtis, S. Norton, R. Parker, and R. Wilson, “Atlas of finite groups. Maximal subgroups and ordinary characters for simple groups.” With comput. assist. from J. G. Thackray. Clarendon Press, 1985

1985

Earlier work this paper cites.

E. Witten, “Elliptic Genera and Quantum Field Theory,” Commun. Math. Phys. 109

1987

Earlier work this paper cites.

T. Eguchi and A. Taormina, “Unitary Representations of 𝒩 = 4 {\mathcal{N}}\!=4 Superconformal Algebra,” Phys. Lett. B 196

1987

Earlier work this paper cites.

Mathematical Society of Japan, “Iwanami Suugaku Jiten.” 4th Japanese ed., Iwanami Shoten, 2007. (English translation of the 3rd Japanese edition is available as the 2nd English edition of “Encyclopedic Dictionary of Mathematics,” MIT press, 1987.)

1987

Earlier work this paper cites.

T. Eguchi and A. Taormina, “Character Formulas for the 𝒩 = 4 {\mathcal{N}}\!=4 Superconformal Algebra,” Phys. Lett. B 200

1988

Earlier work this paper cites.

I. B. Frenkel, J. Lepowsky and A. Meurman, “Vertex Operator Algebras and the Monster,” Pure and Applied Math., vol. 134, Academic Press, 1988

1988

Cited alongside, same era.

S. Mukai, “Finite groups of automorphisms of K ​ 3 K3 surfaces and the Mathieu group,” Invent. Math., 94

1988

Cited alongside, same era.

T. Eguchi, H. Ooguri, A. Taormina and S. K. Yang, “Superconformal Algebras and String Compactification on Manifolds with S ​ U ​ ( N ) SU(N) Holonomy,” Nucl. Phys. B 315

1989

Cited alongside, same era.

H. Ooguri, “Superconformal Symmetry and Geometry of Ricci Flat Kähler Manifolds,” Int. J. Mod. Phys. A 4

1989

Cited alongside, same era.

C. Y. Dong and G. Mason, “An Orbifold Theory of Genus Zero Associated to the Sporadic Group M 24 M_{24} ,” Commun. Math. Phys. 164

1994

Cited alongside, same era.

S. P. Zwegers, “Mock Theta Functions,” Ph.D. Thesis, Universiteit Utrecht, 2002

2002

Later among the works it cites.

V. G. Kac and M. Wakimoto, “Quantum Reduction and Representation Theory of Superconformal Algebras,” Advances in Math. 185

2004

Later among the works it cites.

D. Zagier, “Ramanujan’s Mock Theta Functions and Their Applications,” Séminaire Bourbaki 60ème année, 2006-2007, n ∘ \mbox{n}^{\circ} 986

2007

Later among the works it cites.

E. Witten, “Three-Dimensional Gravity Revisited,” arXiv:0706.3359, 2007

Original

2007

Later among the works it cites.

K. Bringmann and K. Ono, “The f ⁡ ( q ) f(q) mock theta function conjecture and partition ranks,” Invent. Math. 165

2008

Later among the works it cites.