Oriented matroids, complex manifolds, and a combinatorial model for \(BU\).

DOI10.1016/S0001-8708(02)00076-2zbMath1040.52015MaRDI QIDQ1413096

Daniel K. Biss

Publication date: 16 November 2003

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

complex manifoldMacPhersonianmatroid bundlecomplex matroidOriented matroid

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Topological aspects of complex manifolds (32Q55) Oriented matroids in discrete geometry (52C40) PL-topology (57Q99)

Related Items (1)

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Cites Work

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• ``What is a complex matroid?
• Mod 2 cohomology of combinatorial Grassmannians
• The homotopy type of the matroid Grassmannian
• Singular homology groups and homotopy groups of finite topological spaces
• Combinatorial geometries and torus strata on homogeneous compact manifolds
• A combinatorial formula for the Pontrjagin classes
• Higher algebraic K-theory: I

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