AN EXACT FORMULA FOR U(3) VAFA-WITTEN INVARIANTS ON P2

被引：5

作者：

Bringmann, Kathrin ^{[1
]}

Nazaroglu, Caner ^{[1
]}

机构：

[1] Univ Cologne, Math Inst, Weyertal 86-90, D-50931 Cologne, Germany

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 372卷 / 09期

基金：

欧洲研究理事会;

关键词：

INDEFINITE THETA-SERIES; PARTITION-FUNCTION; STABLE SHEAVES; MODULAR-FORMS; BETTI NUMBERS; MONOPOLES; RANK-2; SPACE;

D O I：

10.1090/tran/7714

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Topologically twisted N = 4 super Yang-Mills theory has a partition function that counts Euler numbers of instanton moduli spaces. On the manifold P-2 and with gauge group U(3) this partition function has a holomorphic anomaly which makes it a mock modular form of depth two. We employ the Circle Method to find a Rademacher expansion for the Fourier coefficients of this partition function. This is the first example of the use of Circle Method for a mock modular form of a higher depth.

引用

页码：6135 / 6159

页数：25

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