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This article is cited in 3 scientific papers (total in 3 papers)
Research Papers
Self-intersection surfaces, regular homotopy, and finite order invariants
T. Ekholm Department of Mathematics, Uppsala University, Uppsala, Sweden
Abstract:
Explicit formulas for the regular homotopy classes of generic immersions
$S^k\to{\mathbb R}^{2k-2}$ are given in terms of the corresponding self-intersection manifolds with
natural additional structures.
There is a natural notion of finite order invariants of generic immersions. We determine
the group of $m$th order invariants for each $m$ and prove that the finite order
invariants are not sufficient for distinguishing generic immersions that cannot be obtained
from each other by a regular homotopy through generic immersions.
Keywords:
immersion, regular homotopy, finite order invariants, spin and pin structures.
Received: 12.04.1999
Citation:
T. Ekholm, “Self-intersection surfaces, regular homotopy, and finite order invariants”, Algebra i Analiz, 11:5 (1999), 250–272; St. Petersburg Math. J., 11:5 (2000), 909–929
Linking options:
https://www.mathnet.ru/eng/aa1083 https://www.mathnet.ru/eng/aa/v11/i5/p250
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Abstract page: | 189 | Full-text PDF : | 129 | First page: | 1 |
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