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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 topological modular forms.
Halbexakte Homotopiefunktoren
Albrecht Dold · 1966
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Classifying spaces and spectral sequences
Graeme Segal · 1968
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Geometric topology: localization, periodicity and Galois symmetry
Dennis P. Sullivan · 1970
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The geometry of iterated loop spaces
J. P. May · 1972
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Homotopy invariant algebraic structures on topological spaces
J. M. Boardman and R. M. Vogt · 1973
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E ∞ E_{\infty} spaces, group completions, and permutative categories
J. P. May · 1974
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Categories and cohomology theories
Graeme Segal · 1974
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Classifying spaces and fibrations
J. P. May · 1975
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Homology fibrations and the “group-completion” theorem
D. McDuff and G. Segal · 1975
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Algebraic topology—homotopy and homology
Robert M. Switzer · 1975
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The homology of iterated loop spaces
F. R. Cohen, Thomas J. Lada, and J. Peter May · 1976
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E ∞ E_{\infty} ring spaces and E ∞ E_{\infty} ring spectra
J. P. May · 1977
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A note on the Thom isomorphism
Mark Mahowald and Nigel Ray · 1981
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Reducing equivariant homotopy theory to the theory of fibrations
W. G. Dwyer and D. M. Kan · 1985
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Equivariant stable homotopy theory
L. G. Lewis, Jr., J. P. May, M. Steinberger, and J. E. McClure · 1986
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Is there a convenient category of spectra?
L. Gaunce Lewis, Jr · 1991
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Operads, algebras, modules and motives
Igor Kriz and J. P. May · 1995
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Rings, modules, and algebras in stable homotopy theory
A. D. Elmendorf, I. Kriz, M. A. Mandell, and J. P. May · 1996
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E ∞ E_{\infty} algebras and p p -adic homotopy theory
M. A. Mandell · 1997
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Model categories
Axiomatic homotopy theory for operads
Clemens Berger and Ieke Moerdijk · 2003
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Topological André-Quillen cohomology and E ∞ E_{\infty} André-Quillen cohomology
M. A. Mandell · 2003
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Units of ring spectra and their traces in algebraic K K -theory
Christian Schlichtkrull · 2004
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Homology and cohomology of E ∞ E_{\infty} ring spectra
M. Basterra and M. A. Mandell · 2005
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Progress towards the calculation of the K K -theory of Thom spectra
A. J. Blumberg · 2005
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Parametrized homotopy theory
J. P. May and J. Sigurdsson · 2006
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Mark Hovey · 1999
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Spaces of algebra structures and cohomology of operads
Charles Rezk · 1999
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Stable homotopical algebra and Γ \Gamma -spaces
Stefan Schwede · 1999
Cited alongside, same era.
Model categories of diagram spectra
M. A. Mandell, J. P. May, S. Schwede, and B. Shipley · 2001
Cited alongside, same era.
Algebraic topology and modular forms
M. J. Hopkins · 2002
Cited alongside, same era.
Quasi-categories and Kan complexes
A. Joyal · 2002
Cited alongside, same era.
Parametrized spaces model locally constant homotopy sheaves
Michael A. Shulman · 2008
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Diagram spaces, diagram spectra, and spectra of units
John Lind · 2009
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Higher Topos Theory
Jacob Lurie · 2009
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What precisely are E ∞ E_{\infty} ring spaces and E ∞ E_{\infty} ring spectra?
J. P. May · 2009
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Twists of K-theory and TMF
Matthew Ando, Andrew J. Blumberg, and David Gepner · 2010
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Topological Hochschild homology of Thom spectra and the free loop space
A. J. Blumberg, R. Cohen, and C. Schlichtkrull · 2010
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