EQUIVARIANT ALGEBRAIC INDEX THEOREM

被引：8

作者：

Gorokhovsky, Alexander ^{[1
]}

de Kleijn, Niek ^{[1
]}

Nest, Ryszard ^{[1
]}

机构：

[1] Univ Copenhagen, Nat & Biovidenskabelige Fak, Math, Univ Pk 5, DK-2100 Copenhagen, Denmark

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2021年 / 20卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

deformation quantization; index theorem; RIEMANN-ROCH THEOREMS; DEFORMATION QUANTIZATION; ELLIPTIC-OPERATORS; COHOMOLOGY;

D O I：

10.1017/S1474748019000380

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a Gamma-equivariant version of the algebraic index theorem, where Gamma is a discrete group of automorphisms of a formal deformation of a symplectic manifold. The particular cases of this result are the algebraic version of the transversal index theorem related to the theorem of A. Connes and H. Moscovici for hypo-elliptic operators and the index theorem for the extension of the algebra of pseudodifferential operators by a group of diffeomorphisms of the underlying manifold due to A. Savin, B. Sternin, E. Schrohe and D. Perrot.

引用

页码：929 / 955

页数：27

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