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arXiv · 1807.01046

Formal classication of two-dimensional neighborhoods of genus g $\ge$ 2 curves with trivial normal bundle

Olivier Thom
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Abstract

In this paper we study the formal classication of two-dimensional neighborhoods of genus g $\ge$ 2 curves with trivial normal bundle. We first construct formal foliations on such neighborhoods with holonomy vanishing along many loops, then give the formal/analytic classication of neighborhoods equipped with two foliations, and finally put this together to obtain a description of the space of neighborhoods up to formal equivalence.

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Olivier Thom. 2018-07-03. Formal classication of two-dimensional neighborhoods of genus g $\ge$ 2 curves with trivial normal bundle. https://arxiv.org/abs/1807.01046

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