Coniveau filtrations and Milnor operation
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Publication:6076957
DOI10.1017/s0305004123000282OpenAlexW4375842979MaRDI QIDQ6076957
Publication date: 17 October 2023
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0305004123000282
group cohomologycomplex cobordismconiveau filtrationcycle mapMilnor operationstrong coniveau filtration
Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Cohomology theory for linear algebraic groups (20G10) (Equivariant) Chow groups and rings; motives (14C15) Homology and cohomology of (H)-spaces (57T25)
Cites Work
- Note on the counterexamples for the integral Tate conjecture over finite fields
- Algebraic \(BP\)-theory and norm varieties
- Chow rings of nonabelian \(p\)-groups of order \(p^{3}\)
- On motivic cohomology with \(\mathbb{Z}/l\)-coefficients
- The Steenrod algebra and its dual
- Two coniveau filtrations
- Brown-Peterson cohomology from Morava \(K\)-theory
- Some spectral sequences for filtered complexes and applications
- Reduced power operations in motivic cohomology
- Motivic cohomology with \(\mathbb Z/2\)-coefficients
- Chern classes and the Rost cohomological invariant
- Rationality problem for classifying spaces of spinor groups
- The Noether problem for spinor groups of small rank
- Unramified cohomology and the entire Hodge conjecture
- Elementary proofs of some results of cobordism theory using Steenrod operations
- The mod 2 cohomology rings of extra-special 2-groups and the spinor groups
- The image of the map from group cohomology to Galois cohomology
- The image of the ๐ต๐ Thom map for Eilenberg-MacLane spaces
- Coniveau filtration of cohomology of groups
- Gersten's conjecture and the homology of schemes
- The Brown-Peterson cohomology of the classifying spaces of the projective unitary groups ๐๐(๐) and exceptional Lie groups
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