#### Volume 7, issue 1 (2003)

 1 M Ando, M Basterra, The Witten genus and equivariant elliptic cohomology, Math. Z. 240 (2002) 787 MR1922730 2 M Ando, M J Hopkins, N P Strickland, Elliptic spectra, the Witten genus and the theorem of the cube, Invent. Math. 146 (2001) 595 MR1869850 3 M Ando, Power operations in elliptic cohomology and representations of loop groups, Trans. Amer. Math. Soc. 352 (2000) 5619 MR1637129 4 A Borel, Topology of Lie groups and characteristic classes, Bull. Amer. Math. Soc. 61 (1955) 397 MR0072426 5 J L Brylinski, Representations of loop groups, Dirac operators on loop space, and modular forms, Topology 29 (1990) 461 MR1071369 6 R Bott, H Samelson, Applications of the theory of Morse to symmetric spaces, Amer. J. Math. 80 (1958) 964 MR0105694 7 R Bott, C Taubes, On the rigidity theorems of Witten, J. Amer. Math. Soc. 2 (1989) 137 MR954493 8 D S Freed, E Witten, Anomalies in string theory with D-branes, Asian J. Math. 3 (1999) 819 MR1797580 9 V Ginzburg, M Kapranov, É Vasserot, Langlands reciprocity for algebraic surfaces, Math. Res. Lett. 2 (1995) 147 MR1324698 10 J P C Greenlees, Rational $\mathrm SO(3)$–equivariant cohomology theories, from: "Homotopy methods in algebraic topology (Boulder, CO, 1999)", Contemp. Math. 271, Amer. Math. Soc. (2001) 99 MR1831349 11 I Grojnowski, Delocalized equivariant elliptic cohomology, unpublished manuscript (1994) 12 M J Hopkins, Characters and elliptic cohomology, from: "Advances in homotopy theory (Cortona, 1988)", London Math. Soc. Lecture Note Ser. 139, Cambridge Univ. Press (1989) 87 MR1055870 13 M J Hopkins, Topological modular forms, the Witten genus, and the theorem of the cube, from: "Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994)", Birkhäuser (1995) 554 MR1403956 14 V G Kac, Infinite-dimensional Lie algebras, Cambridge University Press (1985) MR823672 15 K Liu, On modular invariance and rigidity theorems, J. Differential Geom. 41 (1995) 343 MR1331972 16 E Looijenga, Root systems and elliptic curves, Invent. Math. 38 (1976/77) 17 MR0466134 17 A Pressley, G Segal, Loop groups, Oxford Mathematical Monographs, The Clarendon Press Oxford University Press (1986) MR900587 18 D Quillen, The spectrum of an equivariant cohomology ring I, II, Ann. of Math. $(2)$ 94 (1971) 549, 573 MR0298694 19 I Rosu, Equivariant elliptic cohomology and rigidity, Amer. J. Math. 123 (2001) 647 MR1844573