2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152572We derive a generalized Stokes' theorem, valid in any dimension and for arbitrary loops, even if self intersecting or knotted. The generalized theorem does not involve an auxiliary surface, but inherits a higher rank gauge symmetry from the invariance under deformations of the surface used in the conventional formulation.8 pages, plain TeXHigh Energy Physics - TheoryAlgebraic GeometryGeneral Relativity and Quantum CosmologyA Generalized ``Surfaceless'' Stokes' Theoremtext