2 citations · 2 across the 11 of their papers we have counts for
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A New CR Invariant for Contact 3-Manifolds and Classes of Open Books
Ali M. Elgindi
This paper introduces a new CR invariant for co-oriented contact structures on closed, orientable 3-manifolds. The invariant, which we denote as , takes values in the Picar…
New constructions relating Real and Complex Contact Structure
Ali M. Elgindi
We establish new connections between real and complex contact geometry via embeddings of 3-manifolds into $\C^3$. We introduce a new \emph{contact wedge} construction combining two…
Holomorphic Hulls for Compact 3-Manifolds
Ali M. Elgindi
We demonstrate the different possible structures for holomorphic hulls for embeddings of compact real 3-manifolds along the set of complex tangents…
Quantization of Contact 3-Manifolds and the Reeb Gravitational Field
Ali M. Elgindi
We present a canonical geometric quantization scheme for closed contact 3-manifolds using the corresponding explicit embedding $M \hookrightarrow \C^3$ as we constructed in…