A formula with hypervolumes of six 4-simplices and two discrete curvatures

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dc.creatorKorepanov, I. G.
dc.date2000-03-10
dc.date.accessioned2026-07-07T05:32:43Z
dc.date.available2026-07-07T05:32:43Z
dc.descriptionOne of the generalizations of the pentagon equation to higher dimensions is the so-called "six-term equation". Geometrically, it corresponds to one of the "Alexander moves", that is elementary rebuildings of simplicial complexes, namely, replacing a "cluster" of three 4-simplices by another "cluster", also of three 4-simplices and with the same boundary. We present a formula containing the euclidean volumes of the simplices in the first cluster in its l.h.s., and those in the second cluster - in its r.h.s. The formula also involves "discrete curvatures" appearing when we slightly deform the euclidean space.
dc.descriptionLaTeX, 3 pages, continues solv-int/9911008 and nlin.SI/0003001
dc.identifierhttps://arxiv.org/abs/nlin/0003024
dc.identifierhttp://arxiv.org/abs/nlin/0003024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79759
dc.subjectExactly Solvable and Integrable Systems
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Lattice
dc.subjectMetric Geometry
dc.subjectQuantum Algebra
dc.titleA formula with hypervolumes of six 4-simplices and two discrete curvatures
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