On the homotopy theory of homotopy theories (the (infinity,1)-category of (infinity,1)-categories) in terms of complete Segal spaces:
Introducing model toposes/(∞,1)-toposes:
Review of higher topos theory:
On power operations:
Charles Rezk, Lectures on power operations (dvi) (2006)
Charles Rezk, Power operations in Morava E-theory – a survey (2009) (pdf)
Charles Rezk, Isogenies, power operations, and homotopy theory, article (pdf) and talk at ICM 2014 (pdf)
Expressing logarithmic cohomology operations in terms of the Bousfield-Kuhn functor and power operations:
On the string orientation of tmf:
On global equivariant homotopy theory as a cohesive (∞,1)-topos:
On sufficient conditions for geometric realization of simplicial topological spaces to commute with homotopy pullback
On Theta-spaces:
Charles Rezk, A cartesian presentation of weak -categories Geom. Topol. 14 (2010), no. 1, 521–571 (arXiv:0901.3602)
Correction to “A cartesian presentation of weak -categories” Geom. Topol. 14 (2010), no. 4, 2301–2304. MR 2740648 (pdf)
An introduction to -spaces_ (2009) (pdf)
On ∞-groups of units, Thom spectra and twisted generalized cohomology:
Matthew Ando, Andrew Blumberg, David Gepner, Michael Hopkins, Charles Rezk, Units of ring spectra and Thom spectra (arXiv:0810.4535)
Matthew Ando, Andrew Blumberg, David Gepner, Michael Hopkins, Charles Rezk, Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory, Journal of Topology, Volume7, Issue 4, December 2014 (arXiv:1403.4320, arXiv:10.1112/jtopol/jtu009)
Matthew Ando, Andrew Blumberg, David Gepner, Michael Hopkins, Charles Rezk, An -categorical approach to -line bundles, -module Thom spectra, and twisted -homology, Journal of Topology Volume 7, Issue 3 2014 Pages 869–893 (arXiv:1403.4325, doi:10.1112/jtopol/jtt035)
in higher algebra/stable homotopy theory
Last revised on September 4, 2020 at 14:33:43. See the history of this page for a list of all contributions to it.