霍尔代数与Donaldson-Thomas不变量

Algebraic Geometry: Salt Lake City 2015 Pub Date : 2016-11-11 DOI:10.1090/PSPUM/097.1/01670

T. Bridgeland

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引用次数: 7

摘要

本文综述了Hall代数及其在Calabi-Yau三倍上相干束模空间的动力不变量研究中的应用。这是我在2015年盐湖城AMS夏季研究所演讲的一篇文章，将发表在《论文集》上。这里提出的思想主要来自乔伊斯、康茨维奇、莱内克、索贝尔曼和托达。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hall algebras and Donaldson-Thomas invariants

This is a survey article on Hall algebras and their applications to the study of motivic invariants of moduli spaces of coherent sheaves on Calabi-Yau threefolds. It is a write-up of my talks at the 2015 Salt Lake City AMS Summer Research Institute and will appear in the Proceedings. The ideas presented here are mostly due to Joyce, Kontsevich, Reineke, Soibelman and Toda.

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Algebraic Geometry: Salt Lake City 2015

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