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

Published 28 Jan 2015 in math.CV and math.GT | (1501.07300v3)

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.

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Marko Slapar

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