Bogomolov-Gieseker-type inequality and counting invariants

被引：17

作者：

Toda, Yukinobu ^{[1
]}

机构：

[1] Univ Tokyo, Todai Inst Adv Studies TODIAS, Kavli Inst Phys & Math Universe, Kashiwa, Chiba 2778583, Japan

来源：

JOURNAL OF TOPOLOGY | 2013年 / 6卷 / 01期

关键词：

ABELIAN CATEGORIES; STABLE OBJECTS; MODULI; SHEAVES; CONFIGURATIONS; COMPLEXES; 3-FOLDS;

D O I：

10.1112/jtopol/jts037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a conjectural relationship among Donaldson-Thomas-type invariants on Calabi-Yau 3-folds counting torsion sheaves supported on ample divisors, ideal sheaves of curves and Pandharipande-Thomas's stable pairs. The conjecture is a mathematical formulation of Denef-Moore's formula derived in the study of Ooguri-Strominger-Vafa's conjecture relating black hole entropy and topological strings. The main result of this paper is to prove our conjecture assuming a conjectural Bogomolov-Gieseker-type inequality proposed by Bayer, Macri and the author.

引用

页码：217 / 250

页数：34

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