HOMFLY polynomials, stable pairs and motivic Donaldson-Thomas invariants

被引：1

作者：

Diaconescu, Duiliu-Emanuel ^{[1
]}

Hua, Zheng ^{[2
]}

Soibelman, Yan ^{[2
]}

机构：

[1] Rutgers State Univ, NHETC, Piscataway, NJ 08854 USA

[2] Kansas State Univ, Dept Math, Manhattan, KS 66506 USA

来源：

COMMUNICATIONS IN NUMBER THEORY AND PHYSICS | 2012年 / 6卷 / 03期

基金：

美国国家科学基金会;

关键词：

ABELIAN CATEGORIES; STABILITY CONDITIONS; CONFIGURATIONS; CURVES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Hilbert scheme topological invariants of plane curve singularities are identified to framed threefold stable pair invariants. As a result, the conjecture of Oblomkov and Shende on HOMFLY polynomials of links of plane curve singularities is given a Calabi-Yau threefold interpretation. The motivic Donaldson-Thomas theory developed by M. Kontsevich and the third author then yields natural motivic invariants for algebraic knots. This construction is motivated by previous work of V. Shende, C. Vafa and the first author on the large N-duality derivation of the above conjecture.

引用

页码：517 / 600

页数：84