62 citations · 284 across the 13 of their papers we have counts for
13 papers
An -categorical approach to -line bundles, -module Thom spectra, and twisted -homology
Matthew Ando, Andrew J. Blumberg, David Gepner +2
We develop a generalization of the theory of Thom spectra using the language of infinity categories. This treatment exposes the conceptual underpinnings of the Thom spectrum functo…
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…
Parametrized spectra, multiplicative Thom spectra, and the twisted Umkehr map
Matthew Ando, Andrew J. Blumberg, David Gepner
We introduce a general theory of parametrized objects in the setting of infinity categories. Although spaces and spectra parametrized over spaces are the most familiar examples, we…
Twists of K-theory and TMF
Matthew Ando, Andrew J. Blumberg, David Gepner
We explore an approach to twisted generalized cohomology from the point of view of stable homotopy theory and quasicategory theory provided by arXiv:0810.4535. We explain the relat…
Units of ring spectra and Thom spectra
Matthew Ando, Andrew J. Blumberg, David J. Gepner +2
We review and extend the theory of Thom spectra and the associated obstruction theory for orientations. We recall (from May, Quinn, and Ray) that a commutative ring spectrum A has…
Circle-equivariant classifying spaces and the rational equivariant sigma genus
Matthew Ando, J. P. C. Greenlees
The circle-equivariant spectrum MString_C is the equivariant analogue of the cobordism spectrum MU<6> of stably almost complex manifolds with c_1=c_2=0. Given a rational elliptic c…