Differential forms and the noncommutative residue for manifolds with boundary in the non-product case

Letters in Mathematical Physics

Volumn 77, Issue 1, 2006, Pages 41-51

  Wang, Yong ^a,b  

^a ZHEJIANG UNIVERSITY   (China)

^b NORTHEAST NORMAL UNIVERSITY   (China)

Author keywords

Conformal invariant; Non product metric; Noncommutative residue for manifolds with boundary

Indexed keywords

EID: 33745627751     PISSN: 03779017     EISSN: 15730530     Source Type: Journal    
DOI: 10.1007/s11005-006-0078-2     Document Type: Article

References (14)

1. Adler, M.: On a trace functional for formal pseudo-differential operators and the sympletic structure of the Korteweg-de Vries type equations. Invent. Math. 50, 219-248 (1979)
2. Alberti, P.M., Matthes, R.: Connes' trace formula and Dirac realization of Maxwell and Yang-Mills action, noncommutative geometry and the standard model of elementary particle physics (Hesselberg, 1999), pp. 40-74, Lecture Notes in Physics, vol. 596, Springer, Berlin Heidelberg New York
3. Connes, A.: The action functinal in noncommutative geometry. Commun. Math. Phys. 117, 673-683 (1998)
4. Connes, A.: Quantized calculus and applications. In: Proceedings of the XIth international congress of mathematical physics (Paris, 1994), pp. 15-36, Internat Press, Cambridge, MA (1995)
5. Fedosov, B.V., Golse, F., Leichtnam, E., Schrohe, E.: The noncommutative residue for manifolds with boundary. J. Funct. Anal. 142, 1-31 (1996)
6. Guillemin, V.W.: A new proof of Weyl's formula on the asymptotic distribution of eigenvalues. Adv. Math. 55(2), 131-160 (1985)
7. Kastler, D.: The Dirac operator and gravitation. Commun. Math. Phys. 166, 633-643 (1995)
8. Kalau, W., Walze, M.: Gravity, non-commutative geometry, and the Wodzicki residue. J. Geom. Phys. 16, 327-344 (1995)
9. Manin, Yu. I.: Algebraic aspects of nonlinear differential equations. J. Sov. Math. 11, 1-22 (1979)
10. Schrohe, E.: Noncommutative residue, Dixmier's trace, and heat trace expansions on manifolds with boundary. Contemp. Math. 242, 161-186 (1999)
11. Ugalde, W.J.: Differential forms and the Wodzicki residue. arXiv: Math, DG/0211361
12. Wang, Y.: Gravity and the Wodzicki residue for manifolds with boundary, preprint, available online at www.cms.zju.edu.cn/frontindex.asp?version=english/ priprint
13. Wang, Y.: Differential forms and the Wodzicki residue for manifolds with boundary. J. Geom. Phys. (in press) online: www.sciencedirect.com
14. Wodzicki, M.: Local invariants of spectral asymmetry. Invent. Math. 75(1), 143-178 (1984)