Twisted de Rham cohomology, homological definition of the integral and "Physics over a ring"

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dc.creatorSchwarz, Albert
dc.creatorShapiro, Ilya
dc.date2008-08-30
dc.date.accessioned2026-07-07T12:34:05Z
dc.date.available2026-07-07T12:34:05Z
dc.descriptionWe define the twisted de Rham cohomology and show how to use it to define the notion of an integral of the form $\int g(x) e^{f(x)}dx$ over an arbitrary ring. We discuss also a definition of a family of integrals and some properties of the homological definition of integral. We show how to use the twisted de Rham cohomology in order to define the Frobenius map on the p-adic cohomology. Finally, we consider two-dimensional topological quantum field theories with general coefficients.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0809.0086
dc.identifierhttp://arxiv.org/abs/0809.0086
dc.identifierNucl.Phys.B809:547-560,2009
dc.identifierdoi:10.1016/j.nuclphysb.2008.10.005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217295
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.titleTwisted de Rham cohomology, homological definition of the integral and "Physics over a ring"
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