The Landweber-Novikov algebra and formal vector fields on the line

DOI10.1007/BF01681427zbMath0409.55004MaRDI QIDQ1259047

A. V. Shokurov, Victor M. Buchstaber

Publication date: 1979

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

formal vector fieldsAdams spectral sequenceGelfand-Fuks cohomologyLandweber-Novikov algebra

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Stable homotopy theory, spectra (55P42) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Cohomology of Lie (super)algebras (17B56) Complex cobordism ((mathrm{U})- and (mathrm{SU})-cobordism) (57R77) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32) Adams spectral sequences (55T15)

Related Items (5)

Algebra, geometry, and topology of the substitution group of formal power series ⋮ Massey products, toric topology and combinatorics of polytopes ⋮ Polynomial graph invariants and linear hierarchies ⋮ Viktor Matveevich Buchstaber (on his 70th birthday) ⋮ Complex cobordism ring and conformal field theory over \({\mathbb{Z}}\)

Cites Work

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• \(BP_*(BP)\) and typical formal groups
• The products in the Steenrod rings of the complex and symplectic cobordism theories
• Invariant regular ideals in Brown-Peterson homology
• Cohomology of Lie algebras of formal vector fields on the line
• Construction of unitary irreducible representations of Lie groups
• Cobordism Operations and Hopf Algebras
• On the formal group laws of unoriented and complex cobordism theory
• COHOMOLOGY OF THE LIE ALGEBRA OF FORMAL VECTOR FIELDS
• FORMAL GROUPS, POWER SYSTEMS AND ADAMS OPERATORS
• On Fibering of Cobordism Classes

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