SOME INDEX FORMULAE ON THE MODULI SPACE OF STABLE PARABOLIC VECTOR BUNDLES

被引：4

作者：

Albin, Pierre ^{[1
]}

Rochon, Frederic ^{[2
]}

机构：

[1] Univ Illinois, Urbana, IL USA

[2] Australian Natl Univ, Dept Math, Canberra, ACT 0200, Australia

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2013年 / 94卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

parabolic bundles; cusps; index formula; SPECTRAL GEOMETRY; DETERMINANTS; OPERATORS; SURFACES; FAMILIES; LAPLACIAN; MANIFOLDS; THEOREM;

D O I：

10.1017/S144678871200047X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study natural families of partial derivative-operators on the moduli space of stable parabolic vector bundles. Applying a families index theorem for hyperbolic cusp operators from our previous work, we find formulae for the Chern characters of the associated index bundles. The contributions from the cusps are explicitly expressed in terms of the Chern characters of natural vector bundles related to the parabolic structure. We show that our result implies formulae for the Chern classes of the associated determinant bundles consistent with a result of Takhtajan and Zograf.

引用

页码：1 / 37

页数：37

共 49 条

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