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Whitney's index formula in higher dimensions and Laplace integrals | Yurii M. Burman
; | Date: |
10 Dec 1997 | Subject: | Differential Geometry; Geometric Topology | math.DG math.GT | Affiliation: | Independent University of Moscow | Abstract: | The 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). | Source: | arXiv, math.DG/9801044 | Services: | Forum | Review | PDF | Favorites |
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