On cobordism of manifolds with corners

DOI10.1090/S0002-9947-00-02676-3zbMath0954.55008MaRDI QIDQ4508139

Gerd Laures

Publication date: 3 October 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Lie groupsmanifolds with cornerselliptic cohomologyAdams-Novikov spectral sequencecobordism theoryAdams-Novikov resolutions

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Elliptic cohomology (55N34) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Other types of cobordism (57R90) Adams spectral sequences (55T15) Stable homotopy groups (55Q10)

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Cites Work

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• Representations of loop groups, Dirac operators on loop space, and modular forms
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• Lie groups as framed manifolds
• Framing the exceptional Lie group \(G_2\)
• Orbits and the homotopy class of a compactification of a classical map
• Morava stabilizer algebras and the localization of Novikov's \(E_2\)-term
• Periodic phenomena in the Adams-Novikov spectral sequence
• Rank and Adams filtration of a Lie group
• The topological \(q\)-expansion principle
• The Grassmannian geometry of spectra
• Compact Lie groups and the stable homotopy of spheres
• A union theorem for cofibrations
• On the classification of \(O(n)\)-manifolds
• The relation of cobordism to K-theories
• Elementary proofs of some results of cobordism theory using Steenrod operations
• Quelques propriétés globales des variétés différentiables
• Characteristic Classes and Homogeneous Spaces, I
• Topologie de certains espaces de plongements
• On the Construction of Elliptic Cohomology
• Invariants of Reframed Manifolds
• Hecke Operations and the Adams E₂-Term Based on Elliptic Cohomology
• Invertible Spectra in the E (n )-Local Stable Homotopy Category
• Note on Cofibrations II.