GENERALIZED DONALDSON-THOMAS INVARIANTS VIA KIRWAN BLOWUPS

被引：0
|
作者：
Kiem, Young-hoon [1 ]
Li, Jun [2 ]
Savvas, Michail [3 ]
机构：
[1] Korea Inst Adv Study, Sch Math, 85 Hoegiro, Seoul 02455, South Korea
[2] Fudan Univ, Shanghai Ctr Math Sci, Shanghai, Peoples R China
[3] Univ Texas Austin, Dept Math, Austin, TX 78712 USA
来源：
JOURNAL OF DIFFERENTIAL GEOMETRY | 2024年 / 127卷 / 03期
关键词：
GROMOV-WITTEN THEORY; ARTIN STACKS; THEOREM; CYCLES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop a virtual cycle approach towards generalized Donaldson-Thomas theory of Calabi-Yau threefolds. Let M be the moduli stack of Gieseker semistable sheaves of fixed topological type on a Calabi-Yau threefold W. We construct an associated Deligne-Mumford stack M with an induced semi-perfect obstruction theory of virtual dimension zero and define the generalized Donaldson-Thomas invariant of W via Kirwan blowups to be the degree of the virtual cycle [M](vir). We show that it is invariant under deformations of the complex structure of W.
引用
收藏
页码：1149 / 1205
页数：57
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