On Chow Rings of Quiver Moduli

被引:0
|
作者
Belmans, Pieter [1 ]
Franzen, Hans [2 ]
机构
[1] Univ Luxembourg, Dept Math, 6 Ave Fonte, L-4364 Esch Sur Alzette, Luxembourg
[2] Paderborn Univ, Inst Math, Warburger Str 100, D-33098 Paderborn, Germany
关键词
VECTOR-BUNDLES; SPACES; REPRESENTATIONS; COHOMOLOGY; VARIETIES;
D O I
10.1093/imrn/rnad306
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We describe the point class and Todd class in the Chow ring of a moduli space of quiver representations, building on a result of Ellingsrud-Stromme. This, together with the presentation of the Chow ring by the second author, makes it possible to compute integrals on quiver moduli. To do so, we construct a canonical morphism of universal representations in great generality, and along the way point out its relation to the Kodaira-Spencer morphism. We illustrate the results by computing some invariants of some "small" Kronecker moduli spaces. We also prove that the first non-trivial (6-dimensional) Kronecker moduli space is isomorphic to the zero locus of a general section of $\mathcal{Q}<^>{\vee }(1)$ on $\textrm{Gr}(2,8)$.
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页码:10255 / 10272
页数:18
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