These are introductory notes on Donaldson–Thomas counts of curves in threefolds and their connections with other branches of mathematics and mathematical physics. They are based on my 2018 Takagi Lectures at The University of Tokyo.

中文翻译：

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高木关于唐纳森-托马斯理论的讲座

这些是关于唐纳森-托马斯三重曲线计数及其与数学和数学物理其他分支的联系的介绍性注释。它们基于我 2018 年在东京大学的高木讲座。