Differential forms as infinitesimal cochains

✍ Scribed by Anders Kock

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 86 KB
• Volume: 154
• Category: Article
• ISSN: 0022-4049
• DOI: 10.1016/s0022-4049(00)00068-2

✦ Synopsis

In the context of synthetic di erential geometry (SDG), we provide, for any manifold, a homotopy equivalence between its de Rham complex, and a complex of inÿnitesimal singular cochains. The equivalence takes wedge product of forms to cup product of singular cochains.