Elliptic spectra, the Witten genus, and the theorem of the cube.
(revised version)
M. Ando, M. J. Hopkins, and N. P. Strickland
University of Illinois at Urbana-Champaign
mando@math.uiuc.edu
MIT
mjh@math.mit.edu
University of Sheffield
N.P.Strickland@sheffield.ac.uk
This is revised version of an earlier paper (1998) with the same title.
We show that every elliptic spectrum receives a natural
MU<6>-orientation. For the elliptic spectrum defined by the Tate
curve, this orientation specializes to the Witten genus. The
naturality of the orientation implies that the modularity of the
Witten genus for MU<6>-manifolds.