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Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary
Інший ID:
2000 Mathematics Subject Classification: 53A30
Посилання:
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.
Підтримка:
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.
Дата:
2007
Переглядів:
608
Завантажень:
248
Анотація:
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.
