The special linear version of the projective bundle theorem

DOI10.1112/S0010437X14007702zbMath1357.14026arXiv1205.6067MaRDI QIDQ5248725

Alexey Ananyevskiy

Publication date: 8 May 2015

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.6067

zbMATH Keywords

Euler classWitt groupsPontryagin classesstable Hopf mapspecial linear orientation

Mathematics Subject Classification ID

Witt groups of rings (19G12) Motivic cohomology; motivic homotopy theory (14F42) (K)-theory of forms (19G99)

Related Items (12)

EULER CLASSES: SIX-FUNCTORS FORMALISM, DUALITIES, INTEGRALITY AND LINEAR SUBSPACES OF COMPLETE INTERSECTIONS ⋮ THE BOREL CHARACTER ⋮ On the push-forwards for motivic cohomology theories with invertible stable Hopf element ⋮ Stable operations and cooperations in derived Witt theory with rational coefficients ⋮ Chow-Witt rings of Grassmannians ⋮ MOTIVIC EULER CHARACTERISTICS AND WITT-VALUED CHARACTERISTIC CLASSES ⋮ Motivic Pontryagin classes and hyperbolic orientations ⋮ Aspects of enumerative geometry with quadratic forms ⋮ Quaternionic projective bundle theorem and Gysin triangle in MW-motivic cohomology ⋮ SL-oriented cohomology theories ⋮ Lectures on quadratic enumerative geometry ⋮ Oriented Schubert calculus in Chow–Witt rings of Grassmannians

Cites Work

• \(\mathbb A^1\)-algebraic topology over a field
• Gysin maps in oriented theories
• On the relation of Voevodsky's algebraic cobordism to Quillen's \(K\)-theory
• Derived Witt groups of a scheme
• \(A^1\)-representability of hermitian \(K\)-theory and Witt groups
• Oriented cohomology theories of algebraic varieties
• Gysin maps in Balmer-Witt theory
• Witt groups of Grassmann varieties
• Hermitian K-theory of exact categories
• On Voevodsky's Algebraic K-Theory Spectrum
• Koszul complexes and symmetric forms over the punctured affine space
• \(\mathbb{A}^1\)-homotopy theory of schemes

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