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Contact categories of disks
Honda, Ko...

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Contact categories of disks by Honda, Ko ( Author )
Lemonjar Open Access
Australian National University
09-08-2023
In the first part of the paper we associate a pre-additive category $\mathcal{C}(\Sigma)$ to a closed oriented surface $\Sigma$, called the {\em contact category} and constructed from contact structures on $\Sigma\times[0,1]$. There are also $\mathcal{C}(\Sigma,F)$, where $\Sigma$ is a compact oriented surface with boundary and $F\subset \partial\Sigma$ is a finite oriented set of points which bounds a submanifold of $\partial\Sigma$, and universal covers $\widetilde{\mathcal{C}}(\Sigma)$ and $\widetilde{\mathcal{C}}(\Sigma,F)$ of $\mathcal{C}(\Sigma)$ and $\mathcal{C}(\Sigma,F)$. In the second part of the paper we prove that the universal cover of the contact category of a disk admits an embedding into its "triangulated envelope."
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Article
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29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1608.08325
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