English

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

Complex Variables 2015-05-19 v3 Geometric Topology

Abstract

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.

Keywords

Cite

@article{arxiv.1501.07300,
  title  = {CR regular embeddings and immersions of compact orientable 4-manifolds into C3},
  author = {Marko Slapar},
  journal= {arXiv preprint arXiv:1501.07300},
  year   = {2015}
}

Comments

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