Rational isomorphisms between \(K\)-theories and cohomology theories

DOI10.1007/s00222-003-0300-0zbMath1025.14002OpenAlexW1980406255MaRDI QIDQ1411977

Eric M. Friedlander, Mark E. Walker

Publication date: 4 November 2003

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-003-0300-0

zbMATH Keywords

Chern characterRiemann-Roch theoremtopological filtrationSegre mapmorphic cohomology groupsrational algebraic \(K\)-theory groupsrational motivic cohomology groups

Mathematics Subject Classification ID

Motivic cohomology; motivic homotopy theory (14F42) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items

Lawson homology, morphic cohomology and Chow motives ⋮ Chern classes for twisted \(K\)-theory ⋮ Techniques, computations, and conjectures for semi-topological \(K\)-theory ⋮ The mathematics of Andrei Suslin ⋮ Topological K-theory of complex noncommutative spaces ⋮ Galois equivariance and stable motivic homotopy theory ⋮ Equivariant semi-topological invariants, Atiyah’s $KR$-theory, and real algebraic cycles ⋮ Orbifold products for higher \(K\)-theory and motivic cohomology ⋮ Semitopologization in motivic homotopy theory and applications

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