Heat Trace Asymptotics on Noncommutative Spaces

This is a mini-review of the heat kernel expansion for generalized Laplacians on various noncommutative spaces. Applications to the spectral action principle, renormalization of noncommutative theories and anomalies are also considered.

Saved in:
Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2007
ISSN:1815-0659
Main Author: Vassilevich, D.V.
Format: Article
Language:English
Published: Інститут математики НАН України 2007
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/147205
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Heat Trace Asymptotics on Noncommutative Spaces / D.V. Vassilevich // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 48 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine
_version_ 1862628331617255424
author Vassilevich, D.V.
author_facet Vassilevich, D.V.
citation_txt Heat Trace Asymptotics on Noncommutative Spaces / D.V. Vassilevich // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 48 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description This is a mini-review of the heat kernel expansion for generalized Laplacians on various noncommutative spaces. Applications to the spectral action principle, renormalization of noncommutative theories and anomalies are also considered.
first_indexed 2025-11-30T09:13:40Z
format Article
fulltext
id nasplib_isofts_kiev_ua-123456789-147205
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-11-30T09:13:40Z
publishDate 2007
publisher Інститут математики НАН України
record_format dspace
spelling Vassilevich, D.V.
2019-02-13T19:03:21Z
2019-02-13T19:03:21Z
2007
Heat Trace Asymptotics on Noncommutative Spaces / D.V. Vassilevich // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 48 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 81T75; 58B34
https://nasplib.isofts.kiev.ua/handle/123456789/147205
This is a mini-review of the heat kernel expansion for generalized Laplacians on various noncommutative spaces. Applications to the spectral action principle, renormalization of noncommutative theories and anomalies are also considered.
This paper is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson. This work was supported in part by FAPESP (Brazil).
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Heat Trace Asymptotics on Noncommutative Spaces
Article
published earlier
spellingShingle Heat Trace Asymptotics on Noncommutative Spaces
Vassilevich, D.V.
title Heat Trace Asymptotics on Noncommutative Spaces
title_full Heat Trace Asymptotics on Noncommutative Spaces
title_fullStr Heat Trace Asymptotics on Noncommutative Spaces
title_full_unstemmed Heat Trace Asymptotics on Noncommutative Spaces
title_short Heat Trace Asymptotics on Noncommutative Spaces
title_sort heat trace asymptotics on noncommutative spaces
url https://nasplib.isofts.kiev.ua/handle/123456789/147205
work_keys_str_mv AT vassilevichdv heattraceasymptoticsonnoncommutativespaces