CR regular embeddings and immersions of compact orientable 4-manifolds into C3

CR regular embeddings and immersions of compact orientable 4-manifolds into C3

We show that a compact orientable 4-manifold M has a CR regular immersion into C3 if and only if both its first Pontryagin class and its Euler characteristic vanish, and has a CR regular embedding into C3 if and only if in addition the second Stiefel-Whitney class of M vanishes.

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Veröffentlicht in:arXiv.org 2015-03
1. Verfasser: Slapar, Marko
Format: Artikel
Sprache:eng
Schlagworte:
Manifolds
Mathematics - Complex Variables
Mathematics - Geometric Topology
Submerging
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Zusammenfassung:We show that a compact orientable 4-manifold M has a CR regular immersion into C3 if and only if both its first Pontryagin class and its Euler characteristic vanish, and has a CR regular embedding into C3 if and only if in addition the second Stiefel-Whitney class of M vanishes.
ISSN:2331-8422
DOI:10.48550/arxiv.1501.07300