Invariants of three-dimensional manifolds from four-dimensional Euclidean geometry

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dc.creatorKorepanov, Igor G.
dc.date2006-11-11
dc.date.accessioned2026-07-07T07:32:46Z
dc.date.available2026-07-07T07:32:46Z
dc.descriptionThis is the first in a series of papers where we will derive invariants of three-manifolds and framed knots in them from the geometry of a manifold pseudotriangulation put in some way in a four-dimensional Euclidean space. Thus, the elements of the pseudotriangulation acquire Euclidean geometric values such as volumes of different dimensions and various kinds of angles. Then we construct an acyclic complex made of differentials of these geometric values, and its torsion will lead, depending on the specific kind of this complex, to some manifold or knot invariants. In this paper, we limit ourselves to constructing a simplest kind of acyclic complex, from which a three-manifold invariant can be obtained.
dc.description18 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0611325
dc.identifierhttp://arxiv.org/abs/math/0611325
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119228
dc.subjectGeometric Topology
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAlgebraic Topology
dc.titleInvariants of three-dimensional manifolds from four-dimensional Euclidean geometry
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