Elliptic genus of Calabi–Yau manifolds and Jacobi and Siegel modular forms
V. Gritsenko

This publication is cited in the following articles:

1. Wang H., “Reflective Modular Forms: a Jacobi Forms Approach”, Int. Math. Res. Notices, 2021:3 (2021), 2081–2107    
2. Belin A., Castro A., Keller Ch.A., Muehlmann B., “The Holographic Landscape of Symmetric Product Orbifolds”, J. High Energy Phys., 2020, no. 1, 111    
3. Adler D., Gritsenko V., “The D-8-Tower of Weak Jacobi Forms and Applications”, J. Geom. Phys., 150 (2020), 103616    
4. Gritsenko V., Wang H., “Graded Rings of Integral Jacobi Forms”, J. Number Theory, 214 (2020), 382–398    
5. Mocanu A., “Poincare and Eisenstein Series For Jacobi Forms of Lattice Index”, J. Number Theory, 204 (2019), 296–333    
6. Libgober A., “Elliptic Genus of Singular Algebraic Varieties and Quotients”, J. Phys. A-Math. Theor., 51:7 (2018), 073001          
7. Gritsenko V., Wang H., “Powers of Jacobi Triple Product, Cohen'S Numbers and the Ramanujan Delta-Function”, Eur. J. Math., 4:2 (2018), 561–584          
8. V. A. Gritsenko, “Reflective modular forms and applications”, Russian Math. Surveys, 73:5 (2018), 797–864                
9. Belin A., Castro A., Gomes J., Keller Ch.A., “Siegel Paramodular Forms and Sparseness in Ads(3)/Cft2”, J. High Energy Phys., 2018, no. 11, 037        
10. Wong K., “Quarter-Bps States in Orbifold SIGMA Models With Ade Singularities”, J. High Energy Phys., 2017, no. 6, 116          
11. Belin A., Castro A., Gomes J., Keller Ch.A., “Siegel Modular Forms and Black Hole Entropy”, J. High Energy Phys., 2017, no. 4, 057        
12. Li P., “-1-Phenomena For the Pluri Chi(Y)-Genus and Elliptic Genus”, Pac. J. Math., 273:2 (2015), 331–351          
13. Persson D., Volpato R., “Second-Quantized Mathieu Moonshine”, Commun. Number Theory Phys., 8:3 (2014), 403–509            
14. Gritsenko V., Hulek K., “Uniruledness of Orthogonal Modular Varieties”, J. Algebr. Geom., 23:4 (2014), 711–725            
15. Cheng M.C.N., Duncan J.F.R., Harvey J.A., “Umbral Moonshine”, Commun. Number Theory Phys., 8:2 (2014), 101–242              
16. Keller Ch.A., Ooguri H., “Modular Constraints on Calabi-Yau Compactifications”, Commun. Math. Phys., 324:1 (2013), 107–127            
17. Clery F. Gritsenko V., “Modular Forms of Orthogonal Type and Jacobi Theta-Series”, Abh. Math. Semin. Univ. Hamburg, 83:2 (2013), 187–217          
18. Govindarajan S., “Unravelling Mathieu Moonshine”, Nucl. Phys. B, 864:3 (2012), 823–839              
19. Eguchi T., Hikami K., “Twisted Elliptic Genus for K3 and Borcherds Product”, Lett. Math. Phys., 102:2 (2012), 203–222              
20. Cheng M.C.N., Duncan J.F.R., “The Largest Mathieu Group and (Mock) Automorphic Forms”, String-Math 2011, Proceedings of Symposia in Pure Mathematics, 85, eds. Block J., Distler J., Donagi R., Sharpe E., Amer Mathematical Soc, 2012, 53–82        
21. Clery F., Gritsenko V., “Siegel modular forms of genus 2 with the simplest divisor”, Proc London Math Soc, 102:6 (2011), 1024–1052            
22. Eguchi T., Hikami K., “N=4 superconformal algebra and the entropy of hyperKahler manifolds”, Journal of High Energy Physics, 2010, no. 2, 019          
23. Eguchi T., Hikami K., “N=2 Superconformal Algebra and the Entropy of Calabi-Yau Manifolds”, Letters in Mathematical Physics, 92:3 (2010), 269–297            
24. Govindarajan S., Krishna K.G., “Generalized Kac-Moody algebras from CHL dyons”, J. High Energy Phys., 2009, no. 4, 032, 39 pp.            
25. Gaberdiel M.R., Gukov S., Keller Ch.A., Moore G.W., Ooguri H., “Extremal N = (2,2) 2D conformal field theories”, Communications in Number Theory and Physics, 2:4 (2008), 743–801          
26. Dabholkar A., Narnpuri S., “Spectrum of dyons and black holes in CHL orbifolds using Borcherds lift”, J. High Energy Phys., 2007, no. 11, 077, 20 pp.            
27. Libgober A., Szczesny M., “Discrete torsion, orbifold elliptic genera and the chiral de Rham complex”, Pure Appl. Math. Q., 2:4, part 2 (2006), 1217–1236        
28. Lee Min Ho, “Jacobi and modular forms on symmetric domains”, Rocky Mountain J. Math., 35:4 (2005), 1191–1204          
29. Borisov L., Libgober A., “McKay correspondence for elliptic genera”, Annals of Mathematics, 161:3 (2005), 1521–1569          
30. Nieper-Wißkirchen M.A., “On the elliptic genus of generalised Kummer varieties”, Math. Ann., 330:2 (2004), 201–213          
31. Borisov L., Libgober A., “Elliptic genera of singular varieties”, Duke Math. J., 116:2 (2003), 319–351          
32. V. A. Gritsenko, V. V. Nikulin, “On classification of Lorentzian Kac–Moody algebras”, Russian Math. Surveys, 57:5 (2002), 921–979                
33. Lee Min Ho, “Jacobi-like forms and power series bundles”, Bull. Austral. Math. Soc., 66:2 (2002), 301–311        
34. Spiridonov V.P., “An elliptic incarnation of the Bailey chain”, International Mathematics Research Notices, 2002, no. 37, 1945–1977