Combinatorial Differential Forms

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dc.creatorBreen, Lawrence
dc.creatorMessing, William
dc.date2000-05-09
dc.date.accessioned2026-07-07T04:35:07Z
dc.date.available2026-07-07T04:35:07Z
dc.descriptionWe extend to a scheme-theoretic context the notion of a combinatorial differential form, due to A.Kock in the framework of synthetic differential geometry. We show that group-valued combinatorial forms on a scheme may be identified, under very general hypotheses, with traditional Lie algebra-valued differential forms, and that their Lie algebra structure can be recovered from first principles. Some basic results from differential geometry (Maurer-Cartan equation, Bianchi identity), as well as a higher analogue, are obtained by exploiting this identification.
dc.descriptionLaTeX, 49 pages, uses xy-Pic
dc.identifierhttps://arxiv.org/abs/math/0005087
dc.identifierhttp://arxiv.org/abs/math/0005087
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59156
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subject14B10; 14F40; 51K10; 58A10
dc.titleCombinatorial Differential Forms
dc.typetext

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