Equivariant Algebraic Index Theorem

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Equivariant Algebraic Index Theorem. / Gorokhovsky, Alexander; De Kleijn, Niek; Nest, Ryszard.

In: Journal of the Institute of Mathematics of Jussieu, Vol. 20, No. 3, 2021, p. 929–955.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Gorokhovsky, A, De Kleijn, N & Nest, R 2021, 'Equivariant Algebraic Index Theorem', Journal of the Institute of Mathematics of Jussieu, vol. 20, no. 3, pp. 929–955. https://doi.org/10.1017/S1474748019000380

APA

Gorokhovsky, A., De Kleijn, N., & Nest, R. (2021). Equivariant Algebraic Index Theorem. Journal of the Institute of Mathematics of Jussieu, 20(3), 929–955. https://doi.org/10.1017/S1474748019000380

Vancouver

Gorokhovsky A, De Kleijn N, Nest R. Equivariant Algebraic Index Theorem. Journal of the Institute of Mathematics of Jussieu. 2021;20(3):929–955. https://doi.org/10.1017/S1474748019000380

Author

Gorokhovsky, Alexander ; De Kleijn, Niek ; Nest, Ryszard. / Equivariant Algebraic Index Theorem. In: Journal of the Institute of Mathematics of Jussieu. 2021 ; Vol. 20, No. 3. pp. 929–955.

Bibtex

@article{9edbac6735044d58a560251a9ba4b397,
title = "Equivariant Algebraic Index Theorem",
abstract = "We prove a -equivariant version of the algebraic index theorem, where 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.",
keywords = "55U10, 58H10 Secondary 18G30, deformation quantization, index theorem 2010 Mathematics subject classification: Primary 19K56",
author = "Alexander Gorokhovsky and {De Kleijn}, Niek and Ryszard Nest",
year = "2021",
doi = "10.1017/S1474748019000380",
language = "English",
volume = "20",
pages = "929–955",
journal = "Journal of the Institute of Mathematics of Jussieu",
issn = "1474-7480",
publisher = "Cambridge University Press",
number = "3",

}

RIS

TY - JOUR

T1 - Equivariant Algebraic Index Theorem

AU - Gorokhovsky, Alexander

AU - De Kleijn, Niek

AU - Nest, Ryszard

PY - 2021

Y1 - 2021

N2 - We prove a -equivariant version of the algebraic index theorem, where 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.

AB - We prove a -equivariant version of the algebraic index theorem, where 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.

KW - 55U10

KW - 58H10 Secondary 18G30

KW - deformation quantization

KW - index theorem 2010 Mathematics subject classification: Primary 19K56

UR - http://www.scopus.com/inward/record.url?scp=85071945401&partnerID=8YFLogxK

U2 - 10.1017/S1474748019000380

DO - 10.1017/S1474748019000380

M3 - Journal article

AN - SCOPUS:85071945401

VL - 20

SP - 929

EP - 955

JO - Journal of the Institute of Mathematics of Jussieu

JF - Journal of the Institute of Mathematics of Jussieu

SN - 1474-7480

IS - 3

ER -

ID: 237364390