Fetching the paper…
Reading the bibliography…
We study the elliptic genera of hyperKahler manifolds using the representation theory of N=4 superconformal algebra.
E. T. Whittaker and G. N. Watson, A Course of Modern Analysis , Cambridge Univ. Press, Cambridge, 1927, 4th ed
1927
Earlier work this paper cites.
H. Rademacher, Topics in Analytic Number Theory , Grund. Math. Wiss. 169
1973
Earlier work this paper cites.
J.-P. Serre and H. Stark, Modular Forms of weight 1 / 2 1/2 , in J.-P. Serre and D. Zagier, eds., Modular Functions of One Variable VI , Lecture Notes in Mathematics 627
1977
Earlier work this paper cites.
D. A. Hejhal, The Selberg Trace Formula for PSL( 2 , ℝ 2,\mathbb{R} ) Vol. 2 , Lecture Notes in Mathematics 1001
1983
Earlier work this paper cites.
D. Mumford, Tata Lectures on Theta I , Progress in Mathematics 28
1983
Earlier work this paper cites.
M. Eichler and D. Zagier, The Theory of Jacobi Forms , Progress in Mathematics 55
1985
Earlier work this paper cites.
T. Eguchi and A. Taormina, Unitary representations of the N = 4 N=4 superconformal algebra , Phys. Lett. B 196
1986
Earlier work this paper cites.
E. Witten, Elliptic genera and quantum field theory , Commun. Math. Phys. 109
1987
Earlier work this paper cites.
F. J. Dyson, A walk through Ramanujan’s garden , in Ramanujan Revisited , pp. 7–28, Academic Press, Boston, 1988
1988
Earlier work this paper cites.
———, Character formulas for the N = 4 N=4 superconformal algebra , Phys. Lett. B 200
1988
Earlier work this paper cites.
———, On the unitary representations of N = 2 N=2 and N = 4 N=4 superconformal algebras , Phys. Lett. B 210
1988
Earlier work this paper cites.
G. E. Andrews, Mock theta functions , in L. Ehrenpreis and R. C. Gunning, eds., Theta Functions — Bowdoin 1987 , Proc. Symp. Pure Math. 49
1989
Earlier work this paper cites.
T. Eguchi, H. Ooguri, A. Taormina, and S.-K. Yang, Superconformal algebras and string compactification on manifolds with SU( n n ) holonomy , Nucl. Phys. B 315
1989
Earlier work this paper cites.
N. Skoruppa and D. Zagier, A trace formula for Jacobi forms , J. Reine Angew. Math. 393
1989
Earlier work this paper cites.
———, Quantum field theory and the Jones polynomial , Commun. Math. Phys. 121
1989
Earlier work this paper cites.
L. Göttsche, The Betti numbers of the Hilbert schemes of points on a smooth projective surface , Math. Ann. 286
1990
Cited alongside, same era.
N. Yu. Reshetikhin and V. G. Turaev, Invariants of 3-manifolds via link polynomials and quantum groups , Invent. Math. 103
1991
Cited alongside, same era.
L. C. Jeffrey, Chern–Simons–Witten invariants of lens spaces and torus bundles, and the semiclassical approximation , Commun. Math. Phys. 147
1992
Cited alongside, same era.
T. Kawai, Y. Yamada, and S.-K. Yang, Elliptic genera and N = 2 N=2 superconformal field theory , Nucl. Phys. B 414
1994
Cited alongside, same era.
A. Strominger and C. Vafa, Microscopic origin of the Bekenstein–Hawking entropy , Phys. Lett. B 379
1996
Cited alongside, same era.
J. H. Bruinier and J. Funke, On two geometric theta lifts , Duke Math. J. 125
2004
Later among the works it cites.
K. Ono, The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and q q -Series , CMBS Regional Conference Series in Mathematics 102
2004
Later among the works it cites.
K. Hikami, Mock (false) theta functions as quantum invariants , Regular & Chaotic Dyn. 10
2005
Later among the works it cites.
———, On the quantum invariant for the Brieskorn homology spheres , Int. J. Math. 16
2005
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
2006
Later among the works it cites.
———, On the quantum invariant for the spherical Seifert manifold , Commun. Math. Phys. 268
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
R. Dijkgraaf, G. Moore, E. Verlinde, and H. Verlinde, Elliptic genera of symmetric products and second quantized strings , Commun. Math. Phys. 185
1997
Cited alongside, same era.
M. Cvetič and F. Larsen, Near horizon geometry of rotating black holes in five dimensions , Nucl. Phys. B 531
1998
Cited alongside, same era.
V. Gritsenko, Elliptic genus of Calabi–Yau manifolds and Jacobi and Siegel modular forms , Algebra i Analiz 11
1999
Cited alongside, same era.
R. Lawrence and D. Zagier, Modular forms and quantum invariants of 3-manifolds , Asian J. Math. 3
1999
Cited alongside, same era.
N. Hitchin and J. Sawon, Curvature and characteristic numbers of hyper-Kähler manifolds , Duke Math. J. 106
2001
Cited alongside, same era.
D. Zagier, Vassiliev invariants and a strange identity related to the Dedekind eta-function , Topology 40
2001
Cited alongside, same era.
J. H. Bruinier, Borcherds Products on O ( 2 , ℓ ) O(2,\ell) and Chern Classes of Heegner Divisors , Lecture Notes in Mathematics 1780
2002
Cited alongside, same era.
2006
Later among the works it cites.
G. Moore, Strings and arithmetic , in P. Cartier, B. Julia, and P. Moussa, eds., Frontiers in Number Theory, Physics and Geometry II , pp. 303–359, Springer, Berlin, 2006 [hep-th/0401049]
2006
Later among the works it cites.
T. Eguchi, Y. Sugawara, and A. Taormina, Liouville field, modular forms and elliptic genera , JHEP 2007
2007
Later among the works it cites.
———, Hecke type formula for unified Witten–Reshetikhin–Turaev invariant as higher order mock theta functions , Int. Math. Res. Not. IMRN 2007
2007
Later among the works it cites.
———, Ramanujan’s mock theta functions and their applications [d’après Zwegers and Bringmann–Ono] , Séminaire Bourbaki 986
2007
Later among the works it cites.
———, Coefficients of harmonic Maass forms , Proceedings of the 2008 University of Florida Conference on Partitions, q q -Series, and Modular Forms, to appear
2008
Later among the works it cites.
2009
Closest in time.
2009
Closest in time.
———, Unearthing the visions of a master: harmonic Maass forms and number theory , Current Developments in Mathematics 2008
2009
Closest in time.