Whitney's index formula in higher dimensions and Laplace integrals

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dc.creatorBurman, Yurii M.
dc.date1998-01-10
dc.date.accessioned2026-07-07T05:23:33Z
dc.date.available2026-07-07T05:23:33Z
dc.descriptionThe famous Whitney formula relates the winding number of the smooth generic curve in the real plane to the number of its self-intersection points counted with appropriate signs. We extend this formula to smooth immersions of R^n to R^{2n}. Then use this result together with the general technique of Laplace integrals to get an explicit formula for the generator of the group H^n of Stiefel variety V(n,2n).
dc.description13 pages, LaTeX, no figures
dc.identifierhttps://arxiv.org/abs/math/9801044
dc.identifierhttp://arxiv.org/abs/math/9801044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76480
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.titleWhitney's index formula in higher dimensions and Laplace integrals
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