Immersions of 3-manifolds into the 5-space, almost contact structures, and complex tangents
M Tanabe�- arXiv preprint arXiv:2405.02513, 2024 - arxiv.org
M Tanabe
arXiv preprint arXiv:2405.02513, 2024•arxiv.orgThe Wu invariant is a regular homotopy invariant for immersions of oriented 3-manifolds into
the 5-space. In this paper, we present new expressions and vanishing theorems for the
invariant, from the viewpoint of almost contact structures and complex tangents. As an
application, we determine the regular homotopy classes of inclusion maps of the surface
singularity links of type ADE into the 5-sphere.
the 5-space. In this paper, we present new expressions and vanishing theorems for the
invariant, from the viewpoint of almost contact structures and complex tangents. As an
application, we determine the regular homotopy classes of inclusion maps of the surface
singularity links of type ADE into the 5-sphere.
The Wu invariant is a regular homotopy invariant for immersions of oriented 3-manifolds into the 5-space. In this paper, we present new expressions and vanishing theorems for the invariant, from the viewpoint of almost contact structures and complex tangents. As an application, we determine the regular homotopy classes of inclusion maps of the surface singularity links of type ADE into the 5-sphere.
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