59 citations · 59 across the 1 of their papers we have counts for
4 papers
Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory
Matthew Ando, Andrew J. Blumberg, David Gepner +2
We extend the theory of Thom spectra and the associated obstruction theory for orientations in order to support the construction of the string orientation of tmf, the spectrum of t…
Hodge filtered complex bordism
Michael J. Hopkins, Gereon Quick
We construct Hodge filtered cohomology groups for complex manifolds that combine the topological information of generalized cohomology theories with geometric data of Hodge filtere…
Loop groups and twisted K-theory I
Daniel S. Freed, Michael J. Hopkins, Constantin Teleman
This is the first in a series of papers investigating the relationship between the twisted equivariant K-theory of a compact Lie group G and the "Verlinde ring" of its loop group.…
Twisted equivariant K-theory with complex coefficients
Daniel S. Freed, Michael J. Hopkins, Constantin Teleman
Using a global version of the equivariant Chern character, we describe the complexified twisted equivariant K-theory of a space with a compact Lie group action in terms of fixed-po…