《Moduli Spaces》是2014年出版的圖書，作者是Leticia Brambila-Paz (EDT) 、Peter Newstead (EDT)、Richard P. Thomas (EDT)。
基本介紹
- 外文名：Moduli Spaces
- 作者：Leticia Brambila-Paz、Peter Newstead、Richard P. Thomas
- 出版時間：2014年4月
- 出版社：Cambridge University Press
- 頁數：333 頁
- ISBN：9781107279544
內容簡介,目錄,
內容簡介
Moduli theory is the study of how objects, typically in algebraic geometry but sometimes in other areas of mathematics, vary in families and is fundamental to an understanding of the objects themselves. First formalised in the 1960s, it represents a significant topic of modern mathematical research with strong connections to many areas of mathematics (including geometry, topology and number theory) and other disciplines such as theoretical physics. This book, which arose from a programme at the Isaac Newton Institute in Cambridge, is an ideal way for graduate students and more experienced researchers to become acquainted with the wealth of ideas and problems in moduli theory and related areas. The reader will find articles on both fundamental material and cutting-edge research topics, such as: algebraic stacks; BPS states and the P = W conjecture; stability conditions; derived differential geometry; and counting curves in algebraic varieties, all written by leading experts.
目錄
1 - Introduction to algebraic stacks
2 - BPS states and the P = W conjecture
3 - Representations of surface groups and Higgs bundles
4 - Introduction to stability conditions
5 - An introduction to d-manifolds and derived differential geometry
6 - 13/2 ways of counting curves
