Quantum Harmonic Analysis and Geometric Invariants

Advances in Mathematics

Volumn 143, Issue 1, 1999, Pages 1-110

  Jaffe, Arthur ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002389669     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1998.1747     Document Type: Article

References (33)

1. Blackadar B. K. Mathematical Sciences Research Institute Publications 5. 1986;Springer-Verlag, Berlin/New York.
2. Block J., Getzler E. Equivariant cyclic cohomology and equivariant differential forms. Ann. Sci. École Norm. Sup. 27:1994;493-527.
3. Connes A. Non-commutative Geometry. 1994;Academic Press, San Diego.
4. Connes A. Entire cyclic cohomology of Banach algebras and characters ofTheta; K. 1:1988;519-548.
5. Connes A. On the Chern character ofΘ Comm. Math. Phys. 139:1991;171-181.
6. Connes A., Moscovici H. Cyclic cohomology, the Novikov conjecture and hyperbolic groups. Topology. 29:1990;345-388.
7. A. Connes, H. Moscovici, The local index formula in non-commutative geometry.
8. Cuntz J., Quillen D. Algebra extensions and nonsingularity. J. Amer. Math. Soc. 8:1995;251-289.
9. Cuntz J., Quillen D. Cyclic homology and nonsingularity. J. Amer. Math. Soc. 8:1995;373-442.
10. Ernst K., Feng P., Jaffe A., Lesnewski A. QuantumK. J. Funct. Anal. 90:1990;355-368.
11. Gelfand I., Vilenkin N. Ya. Generalized Functions, Volume IV: Applications of Harmonic Analysis. 1964;Academic Press, San Diego.
12. Getzler E., Szenes A. On the Chern character of a theta-summable Fredholm module. J. Funct. Anal. 84:1989;343-357.
13. Jaffe A. Heat kernel regularization and infinite dimensional analysis. Mathematical Proceedings, Volume 9. 1988;Am. Math. Soc. Providence.
14. A. Jaffe, Lecture presented April 10, 1992, on the occasion of the retirement of A. S. Wightman, Princeton University.
15. A. Jaffe, The homology expansion, index theory, and approximate supersymmetry.
16. A. Jaffe, Hidden Symmetry.
17. Jaffe A., Lesniewski A., Osterwalder K. QuantumK. Comm. Math. Phys. 118:1988;1-14.
18. Jaffe A., Lesniewski A., Osterwalder K. On super-KMS functionals and entire cyclic cohomology. K. 2:1989;675-682.
19. Jaffe A., Lesniewski A., Weitsman J. Index of a family of Dirac operators on loop space. Comm. Math. Phys. 112:1987;75-88.
20. Jaffe A., Lesniewski A., Wisniowski M. Deformations of super-KMS functionals. Comm. Math. Phys. 121:1989;527-540.
21. Kawai Toshiya, Yamada Yasuhiko, Yang Sung-Kil. Elliptic genera andN. Nuclear Phys. B. 414:1994;191-212.
22. Kastler D. Cyclic cocycles from graded KMS functionals. Comm. Math. Phys. 121:1989;345-350.
23. Kato T. Perturbation Theory for Linear Operators. 1966;Springer-Verlag, Berlin/New York.
24. Khalkhali M. Algebraic connections, universal bimodules, and entire cyclic cohomology. Comm. Math. Phys. 161:1994;433-446.
25. Klimek S., Lesniewski A. The Chern character for equivariant cyclic cohomology. K. 4:1991;219-226.
26. Klimek S., Kondracki W., Lesniewski A. Equivariant entire cyclic cohomology I, finite groups. K. 4:1991;201-218.
27. Lesniewski A., Osterwalder K. Superspace formulation of the Chern character of a theta-summable Fredholm module. Comm. Math. Phys. 168:1995;643-650.
28. Nistor V. A bivariant Chern-Connes character. Ann. Math. 138:1993;555-590.
29. Nest R., Tsygan B. Algebraic index theory. Comm. Math. Phys. 172:1995;223-262.
30. Quillen D. Algebra, cochains and cyclic cohomology. Inst. Hautes Études Sci. Publ. Math. 68:1989;139-174.
31. Stein E. Harmonic Analysis. 1993.
32. Witten E. Supersymmetry and Morse theory. J. Differential Geom. 17:1982;661-692.
33. Witten E. On the Landau-Ginzburg description ofN. Internat. J. Modern Phys. A. 9:1994;4783-4800.