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zbMATH Open
Article
Data sources: zbMATH Open
Journal of Singularities
Article . 2014 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2013
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Links of singularities up to regular homotopy

Authors: Katanaga, Atsuko; Némethi, András; Szucs, András;

Links of singularities up to regular homotopy

Abstract

The abstract link L_d of the complex isolated singularity x^2 + y^2 + z^2 + v^{2d} = 0 is diffeomorphic to S^3 \times S^2. We classify the embedded links of these singularities up to regular homotopies precomposed with diffeomorphisms of S^3 \times S^2. Let us denote by i_d the inclusion of L_d in S^7. We show that for arbitrary diffeomorphisms ��_d of S^3 \times S^2 with L_d the compositions i_d \circ ��_d are image regularly homotopic for two values d_1 and d_2 if and only if d_1-d_2 is even.

Keywords

Local complex singularities, links of singularities, Geometric Topology (math.GT), Complex surface and hypersurface singularities, Knots and links in high dimensions (PL-topology), Mathematics - Algebraic Geometry, Mathematics - Geometric Topology, Brieskorn equations, regular homotopies, FOS: Mathematics, 32S25, Algebraic Geometry (math.AG)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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Average
Green