Unstable bordism groups and isolated singularities
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- by David Ellis PDF
- Trans. Amer. Math. Soc. 274 (1982), 695-708 Request permission
Abstract:
An isolated singularity of an embedded submanifold can be topologically smoothed if and only if a certain obstruction element in ${\pi _ \ast }(MG)$ vanishes, where $G$ is the group of the normal bundle. In fact this obstruction lies in a certain subgroup which is referred to here as the unstable $G$-bordism group. In this paper some of the unstable $SO$-bordism groups are computed; the obstruction to smoothing the complex cone on an oriented submanifold $X \subset \mathbf {C}{P^n}$ at $\infty$ is computed in terms of the characteristic numbers of $X$. Examples of nonsmoothable complex cone singularities are given using these computations.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 274 (1982), 695-708
- MSC: Primary 57R75
- DOI: https://doi.org/10.1090/S0002-9947-1982-0675075-9
- MathSciNet review: 675075