Remark on the Serre-Swan theorem for non-compact manifolds

arXivmath-ph/0102016MaRDI QIDQ6468520

Publication date: 15 February 2001

Abstract: The Serre-Swan theorem provides the link between projective modules of finite rank and vector bundles over compact manifolds, and plays a prominent role in non-commutative geometry. Its extension to non-compact manifolds is discussed.

Mathematics Subject Classification ID

Noncommutative geometry methods in quantum field theory (81T75) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

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