Intersection Numbers on Fibrations and Catalan Numbers

被引：0

作者：

Haemaelaeinen, Rimma ^{[1
]}

Lo, Jason ^{[2
,3
]}

Morales, Edward ^{[2
]}

机构：

[1] Tech Univ Berlin, Inst Math, Berlin, Germany

[2] Calif State Univ Northridge, Dept Math, Northridge, CA USA

[3] Calif State Univ Northridge, Dept Math, 18111 Nordhoff St, Northridge, CA 91330 USA

来源：

EXPERIMENTAL MATHEMATICS | 2024年 / 33卷 / 04期

关键词：

Bridgeland stability; Catalan numbers; autoequivalence; fibration; STABILITY CONDITIONS; THREEFOLDS;

D O I：

10.1080/10586458.2023.2293292

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On an elliptic surface or threefold, Catalan numbers appear when one tries to compute the autoequivalence group action on the Bridgeland stability manifold. We explain why this happens by identifying a class of equations in the Chow ring of a fibration, where the solutions always involve Catalan numbers.

引用

页码：768 / 775

页数：8

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