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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高木唐纳森·托马斯理论讲座

这些是有关唐纳森-托马斯曲线的三倍计数及其与其他数学和数学物理学分支的联系的介绍性注释。它们基于我在东京大学举行的2018年高木讲座。