110 citations · 199 across the 3 of their papers we have counts for
4 papers · 1 filter
Twisted K-theory and loop group representations
Daniel S. Freed, Michael J. Hopkins, Constantin Teleman
This is the third paper of a series relating the equivariant twisted -theory of a compact Lie group to the ``Verlinde space'' of isomorphism classes of projective lowest-wei…
Algebraic topology and modular forms
Michael J. Hopkins
Modular forms appear in many facets of mathematics, and have played important roles in geometry, mathematical physics, number theory, representation theory, topology, and other are…
The sigma orientation is an H-infinity map
Matthew Ando, Michael J. Hopkins, Neil P. Strickland
In "Elliptic spectra, the Witten genus, and the Theorem of the cube" (Invent. Math. 146 (2001)), the authors constructed a natural map from the Thom spectrum MU<6> to any elliptic…
Vanishing lines in Adams spectral sequences are generic
M. J. Hopkins, J. H. Palmieri, J. H. Smith
We show that in a generalized Adams spectral sequence, the presence of a vanishing line of fixed slope (at some term of the spectral sequence, with some intercept) is a generic pro…