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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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4 results for “CR-regular”

CR regular embeddings of

S^{4n-1}

\mathbb{C}^{2n+1}

math.GT

Explicitly constructs CR regular embeddings of spheres in complex spaces.

problem Embedding spheres in complex spaces with CR regularity.

method Generalizes Ahern and Rudin's construction to higher dimensions.

result Odd dimensional spheres admit CR regular embeddings in complex spaces if and only if the dimension is even.

CR regular embeddings spheres complex spaces embedding dimensions

2019-09-26abs ↗pdf ↗

CR regular embeddings and immersions of compact orientable 4-manifolds into C3math.CV

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.

2015-01-28abs ↗pdf ↗

Generic immersions and totally real embeddingsmath.GT

The study proves conditions for embedding manifolds into complex spaces.

problem Conditions for embedding manifolds into complex spaces.

method Analyzes CR-regular and totally real embeddings for n-manifolds.

result Establishes conditions for the existence of CR-regular embeddings and their implications.

manifolds embeddings CR-regular totally real complex space

2018-03-22abs ↗pdf ↗

An equivalence between pseudo-holomorphic embeddings into almost-complex Euclidean space and CR regular embeddings into complex spacemath.DG

Equivalence found between certain embeddings in complex and Euclidean spaces.

problem Finding embeddings in complex and Euclidean spaces.

method Establishing an equivalence between pseudo-holomorphic embeddings and CR regular embeddings.

result Existence of pseudo-holomorphic embeddings is equivalent to CR regular embeddings.

embeddings pseudo-holomorphic CR regular equivalence almost-complex

2018-04-21abs ↗pdf ↗