THE y-GENUS OF THE MODULI SPACE OF PGLn-HIGGS BUNDLES ON A CURVE (FOR DEGREE COPRIME TO n)

被引：27

作者：

Garcia-Prada, Oscar ^{[1
]}

Heinloth, Jochen ^{[2
]}

机构：

[1] Inst Ciencias Matemat CSIC UAM UC3M UCM, Madrid 28049, Spain

[2] Univ Duisburg Essen, D-45117 Essen, Germany

来源：

DUKE MATHEMATICAL JOURNAL | 2013年 / 162卷 / 14期

关键词：

HOLOMORPHIC-CHAINS; LANGLANDS DUALITY; MIRROR SYMMETRY; EQUATIONS; SHEAVES;

D O I：

10.1215/00127094-2381369

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Building on our previous joint work with A. Schmitt, we explain a recursive algorithm to determine the cohomology of moduli spaces of Higgs bundles on any given curve (in the coprime situation). As an application of the method, we compute the y-genus of the space of PGL(n)-Higgs bundles for any rank n, confirming a conjecture of T. Hausel.

引用

页码：2731 / 2749

页数：19

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