Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary
We review previous work of Alain Connes, and its extension by the author, on some conformal invariants obtained from the noncommutative residue on even dimensional compact manifolds without boundary. Inspired by recent work of Yong Wang, we also address possible generalizations of these conformal in...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2007 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2007
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147197 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary / W.J. Ugalde // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 23 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-147197 |
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Ugalde, W.J. 2019-02-13T18:57:47Z 2019-02-13T18:57:47Z 2007 Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary / W.J. Ugalde // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 23 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 53A30 https://nasplib.isofts.kiev.ua/handle/123456789/147197 We review previous work of Alain Connes, and its extension by the author, on some conformal invariants obtained from the noncommutative residue on even dimensional compact manifolds without boundary. Inspired by recent work of Yong Wang, we also address possible generalizations of these conformal invariants to the setting of compact manifolds with boundary. This paper is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson. This research is supported by Vicerrector´ıa de Investigaci´on de la Universidad de Costa Rica and Centro de Investigaciones Matem´aticas y Meta-matem´aticas. The material extends a talk presented in May 2007 at the Midwest Geometry Conference held at the University of Iowa in honor of Thomas P. Branson. The referees’ suggestions improved to a great extent the presentation of this material. One of the referees pointed the author towards which provided a clearer understanding of Boutet de Monvel’s calculus. In particular, the formulae used for L(p, q) resulted in a significant simplification of the treatment of the subject. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary |
| spellingShingle |
Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary Ugalde, W.J. |
| title_short |
Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary |
| title_full |
Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary |
| title_fullStr |
Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary |
| title_full_unstemmed |
Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary |
| title_sort |
some conformal invariants from the noncommutative residue for manifolds with boundary |
| author |
Ugalde, W.J. |
| author_facet |
Ugalde, W.J. |
| publishDate |
2007 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We review previous work of Alain Connes, and its extension by the author, on some conformal invariants obtained from the noncommutative residue on even dimensional compact manifolds without boundary. Inspired by recent work of Yong Wang, we also address possible generalizations of these conformal invariants to the setting of compact manifolds with boundary.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147197 |
| citation_txt |
Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary / W.J. Ugalde // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 23 назв. — англ. |
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AT ugaldewj someconformalinvariantsfromthenoncommutativeresidueformanifoldswithboundary |
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2025-12-02T05:40:56Z |
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2025-12-02T05:40:56Z |
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1850861702744113152 |