Morava K-theory of orthogonal groups and motives of projective quadrics

Cites Work

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Shells of twisted flag varieties and the Rost invariant
Motivic construction of cohomological invariants
Equivariant oriented cohomology of flag varieties
Quotients of MGL, their slices and their geometric parts
Isotropy of unitary involutions
Integral motives, relative Krull-Schmidt principle, and Maranda-type theorems
On motivic cohomology with $\mathbb{Z}/l$-coefficients
Equivariant pretheories and invariants of torsors
Oriented cohomology and motivic decompositions of relative cellular spaces
Motivic decomposition of projective homogeneous varieties and the Krull-Schmidt theorem
An exact sequence for $K^M_*/2$ with applications to quadratic forms
Algebraic cobordism as a module over the Lazard ring
Steenrod operations, degree formulas and algebraic cobordism
Chow rings of excellent quadrics
Generically split projective homogeneous varieties
The Rost nilpotence theorem for geometrically rational surfaces
Algebraic cobordism revisited
Torsion in cohomology of compact Lie groups and Chow rings of reductive algebraic groups
K-theory of quadric hypersurfaces
The algebraic $K$-theory of the classical groups and some twisted forms
A short proof of Rost nilpotence via refined correspondences
On the first Witt index of quadratic forms
Rost nilpotence and free theories
On generic quadratic forms
On the Chow groups of quadratic Grassmannians
Motivic decomposition of isotropic projective homogeneous varieties
On the algebraic $K$-theory of twisted flag varieties
The bar spectral sequence converging to $h(SO(2n+1))$
Rost projectors and Steenrod operations
Motivic cohomology with $\mathbb Z/2$-coefficients
Extended Petrov-Semenov's connections
Sufficiently generic orthogonal Grassmannians
On Chow motives of surfaces
Motivic splitting lemma
On motivic decompositions arising from the method of Białynicki-Birula
On the structure of Hopf algebras
Comparison of cobordism theories
Invariants, torsion indices and oriented cohomology of complete flags
A module isomorphism betweenH_T^*(G/P) ⊗ H_T^*(P/B) andH_T^*(G/B)
Lifting of Coefficients for Chow Motives of Quadrics
Holes in InIn
Degree 5 Invariant of E8
Generically split projective homogeneous varieties. II
Hopf-theoretic approach to motives of twisted flag varieties
Algebraic Cobordism
$J$-invariant of linear algebraic groups
Désingularisation des variétés de Schubert généralisées
Chern Classes from Algebraic Morava K-Theories to Chow Groups
On the Morava K-Theories of SO(2n + 1)
SCHUBERT CELLS AND COHOMOLOGY OF THE SPACESG/P
Applications of the Morava $K$-theory to algebraic groups
Stable and unstable operations in algebraic cobordism
Rost motives, affine varieties, and classifying spaces
Excellent connections in the motives of quadrics
Algebraic cobordisms of a Pfister quadric
Riemann--Roch theorem for operations in cohomology of algebraic varieties
Mishchenko and Quillen formulas for oriented cohomology pretheories
Chow motives of twisted flag varieties
Algebraic cobordism of simply connected Lie groups
Higher torsion in the Morava $K$-theory of $SO(m)$ and $Spin(m)$

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