Donaldson-Thomas type invariants via microlocal geometry

• 成果类型: Article
• 署名作者: Behrend, Kai
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2009.170.1307
• 发表日期: 2009
• 页码: 1307-1338
• 关键词: singular algebraic-varieties; Chern classes; stacks; cycles; hypersurfaces; SPACES

摘要

We prove that Donaldson-Thomas type invariants are equal to weighted Euler characteristics of their moduli spaces. In particular, such invariants depend only on the scheme structure of the moduli space, not the symmetric obstruction theory used to define them. We also introduce new invariants generalizing Donaldson-Thomas type invariants to moduli problems with open moduli space. These are useful for computing Donaldson-Thomas type invariants over stratifications.