A flat plumbing basket is a Seifert surface consisting of a disk and bands contained in distinct pages of the disk open book decomposition of the 3-sphere. In this paper, we examine close connections between flat plumbing baskets and the contact structure supported by the open book. As an application we give lower bounds for the flat plumbing basket numbers and determine the flat plumbing basket numbers for various knots and links, including the torus links.

中文翻译：

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扁平水管篮和接触结构

一个扁平的管道篮是一个 Seifert 表面，由一个圆盘和包含在 3 球体的圆盘打开书分解的不同页面中的带组成。在本文中，我们研究了扁平管道篮与打开书支持的接触结构之间的密切联系。作为一个应用程序，我们给出了扁平管道篮编号的下限，并确定了各种结和链接（包括圆环链接）的扁平管道篮编号。