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14
Patching the norm residue isomorphism theorem
, 2007
"... Abstract. We provide a patch to complete the proof of the VoevodskyRost Theorem, that the norm residue map is an isomorphism. (This settles the motivic BlochKato conjecture). ..."
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Cited by 38 (2 self)
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Abstract. We provide a patch to complete the proof of the VoevodskyRost Theorem, that the norm residue map is an isomorphism. (This settles the motivic BlochKato conjecture).
SYMMETRIC POWERS IN STABLE HOMOTOPY CATEGORIES
, 907
"... Abstract. We construct Zcoefficient symmetric powers in a symmetric monoidal triangulated category T, provided it is the homotopy ..."
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Cited by 4 (1 self)
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Abstract. We construct Zcoefficient symmetric powers in a symmetric monoidal triangulated category T, provided it is the homotopy
Motivic Brown–Peterson invariants of the rationals
"... Let BPhni, 0 n 1, denote the family of motivic truncated Brown–Peterson spectra over Q. We employ a “localtoglobal ” philosophy in order to compute the bigraded homotopy groups of BPhni. Along the way, we produce a computation of the homotopy groups of BPhni over Q2, prove a motivic Hasse principl ..."
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Cited by 3 (1 self)
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Let BPhni, 0 n 1, denote the family of motivic truncated Brown–Peterson spectra over Q. We employ a “localtoglobal ” philosophy in order to compute the bigraded homotopy groups of BPhni. Along the way, we produce a computation of the homotopy groups of BPhni over Q2, prove a motivic Hasse principle for the spectra BPhni, and reprove several classical and recent theorems about the K –theory of particular fields in a streamlined fashion. We also compute the bigraded homotopy groups of the 2–complete algebraic cobordism spectrum MGL over Q. 55T15; 19D50, 19E15 1
Motivic Homotopy Theory
 MILAN JOURNAL OF MATHEMATICS
, 2008
"... We give an informal discussion of the roots and accomplishments of motivic homotopy theory. ..."
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Cited by 3 (3 self)
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We give an informal discussion of the roots and accomplishments of motivic homotopy theory.
A comparison of motivic and classical stable homotopy theories
 J. Topology
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