Stable and unstable operations in algebraic cobordism

DOI10.24033/asens.2393zbMath1439.19005arXiv1209.5793OpenAlexW2969213645MaRDI QIDQ5206169

Alexander Vishik

Publication date: 18 December 2019

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.5793

zbMATH Keywords

algebraic cobordismAdams operationsRiemann-Roch theoremSteenrod operationsLazard ringcohomological operationsLandweber-Novikov operationssymmetric operations

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Complex cobordism ((mathrm{U})- and (mathrm{SU})-cobordism) (57R77) Algebraic cycles (14C25) Motivic cohomology; motivic homotopy theory (14F42) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15) Algebraic (K)-theory of spaces (19D10) Primary cohomology operations in algebraic topology (55S05)

Related Items (11)

THE BOREL CHARACTER ⋮ ISOTROPIC MOTIVES ⋮ Algebraic cobordism as a module over the Lazard ring ⋮ Localizing virtual cycles for Donaldson-Thomas invariants of Calabi-Yau 4-folds ⋮ Operations in connective K-theory ⋮ Localized operations on \(T\)-equivariant oriented cohomology of projective homogeneous varieties ⋮ Symmetric operations for all primes and Steenrod operations in Algebraic Cobordism ⋮ Virtual intersection theories ⋮ Additive operations between connective \(K\)-theory and Chow theory ⋮ Operations and poly-operations in algebraic cobordism ⋮ On isotropic and numerical equivalence of cycles

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