Complex b-manifolds

Gerardo A. Mendoza

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arXiv · 1302.0732

Complex b-manifolds

Gerardo A. Mendoza

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Abstract

A complex $b$-structure on a manifold $\M$ with boundary is an involutive subbundle $\bT^{0,1}\M$ of the complexification of $\bT\M$ with the property that $\C\bT\M = \bT^{0,1}\M + \bar{\bT^{0,1}\M}$ as a direct sum; the interior of $\M$ is a complex manifold. The complex $b$-structure determines an elliptic complex of $b$-operators and induces a rich structure on the boundary of $\M$. We study the cohomology of the indicial complex of the $b$-Dolbeault complex.

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Gerardo A. Mendoza. 2013-02-04. Complex b-manifolds. https://arxiv.org/abs/1302.0732

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