Landweber exact formal group laws and smooth cohomology theories

DOI10.2140/agt.2009.9.1751zbMath1181.55006arXiv0711.1134OpenAlexW3103543419MaRDI QIDQ731425

Ingo Schröder, Moritz Wiethaup, Ulrich Bunke, Thomas Schick

Publication date: 6 October 2009

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.1134

zbMATH Keywords

bordismdifferential cohomologyformal group lawgeneralized cohomology theoryLandweber exactgeometric construction of differential cohomologysmooth cohomology

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Algebraic topology on manifolds and differential topology (57R19)

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Cites Work

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• A geometric description of differential cohomology
• Geometry of Deligne cohomology
• The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
• Quadratic functions in geometry, topology, and \(M\)-theory
• Uniqueness of smooth extensions of generalized cohomology theories
• Smooth K-Theory
• On the Construction of Elliptic Cohomology
• Characteristic Classes. (AM-76)
• Homological Properties of Comodules Over MU ∗ (MU) and BP ∗ (BP)
• ON THE TOPOLOGY OF T-DUALITY
• Axiomatic characterization of ordinary differential cohomology
• On the formal group laws of unoriented and complex cobordism theory
• Integration of simplicial forms and Deligne cohomology
• Loop spaces, characteristic classes and geometric quantization
• On Ramond-Ramond fields and \(K\)-theory
• Algebraic topology -- homology and homotopy.