An L2-Index Theorem for Dirac Operators on S1×R3

Journal of Functional Analysis

Volumn 177, Issue 1, 2000, Pages 203-218

  Nye, Tom M W ^a   Singer, Michael A ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

L2 index theorem; manifold with boundary; elliptic operator; Dirac operator; connection; excision

Indexed keywords

EID: 0004388667     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.2000.3648     Document Type: Article

References (13)

1. Anghel N. An abstract index theorem on non-compact Riemannian manifolds. Houston J. Math. 19:1993;223-237.
2. Anghel N. On the index of Callias-type operators. Geom. Funct. Anal. 3:1993;431-438.
3. Atiyah M. F., Patodi V. K., Singer I. M. Spectral asymmetry and Riemannian geometry. Bull. London Math. Soc. 5:1973;229-234.
4. Callias C. Axial anomalies and index theorems on open spaces. Comm. Math. Phys. 62:1978;213-234.
5. Pisarski R. D., Gross D. J., Yaffe L. G. QCD and instantons at finite temperature. Rev. Modern Phys. 53:1981;43-80.
6. Garland H., Murray M. K. Kac-Moody monopoles and periodic instantons. Comm. Math. Phys. 120:1988;335-351.
7. Gromov M., Lawson H. B. Positive scalar curvature and the index of the Dirac operator on complete Riemannian manifolds. Inst. Hautes Études Sci. Publ. Math. 58:1983;295-408.
8. M. Jardim, Nahm transform for doubly-periodic instantons, math/9910120.
9. Kraan T. C., van Baal P. Periodic instantons with non-trivial holonomy. Nuclear Phys. B. 533:1998;627-659.
10. R. Mazzeo, and, R. B. Melrose, Pseudodifferential operators on manifolds with fibred boundaries, Asian J. Math, to appear. Available of, http://www-math.mit.edu/rbm/rbm-home.html .
11. Melrose R. B. The Atiyah-Patodi-Singer Index Theorem. 1993;Peters, Wellesley.
12. Nahm W. Denardo G. Self-dual Monopoles and Calorons. Lecture Notes in Physics. 201:1984;Springer-Verlag, Berlin/New York.
13. Råde J. Callias' index theorem, elliptic boundary conditions, and cutting and gluing. Comm. Math. Phys. 161:1994;51-61.