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Generic vanishing for harmonic spinors of twisted Dirac operators
Author(s):
Nicolae
Anghel
Journal:
Proc. Amer. Math. Soc.
124
(1996),
3555-3561.
MSC (1991):
Primary 58G25;
Secondary 47A53, 53C05
MathSciNet review:
1343678
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Abstract:
In this paper we address the problem of generic vanishing for (negative) harmonic spinors of Dirac operators coupled with variable metric connections.
References:
- [AS]
- M. Atiyah, I. M. Singer, The Index of Elliptic Operators on Compact Manifolds, Bull. Amer. Math. Soc. 69 (1963), 422-433. MR 26:626
- [BW]
- B. Booß-Bavnbek, K. Wojciechowski, Elliptic Boundary Problems for Dirac Operators, Birkhäuser, Boston Basel Berlin, 1993. MR 94h:58168
- [CM]
- A. Connes, H. Moscovici, The
 -Index Theorem for Homogeneous Spaces of Lie Groups, Ann. Math. 115 (1982), 291-330. MR 84f:58108 - [G]
- S. Goldberg, Unbounded Linear Operators, Theory and Applications, Dover Publications, Inc., New York, 1985. MR 86k:47001
- [GL]
- M. Gromov, H. B. Lawson, Jr., Positive Scalar Curvature and the Dirac Operator on Complete Riemannian Manifolds, Publ. Math. IHES 58 (1983), 295-408. MR 85g:58082
- [L]
- A. Lichnerowicz, Spineurs Harmoniques, C. R. Acad. Sci. Paris, Ser. A-B 257 (1963), 7-9. MR 27:6218
- [LM]
- H. B. Lawson Jr., M.-L. Michelsohn, Spin Geometry, Princeton Univ. Press, Princeton, NJ, 1989. MR 91g:53001
- [RS]
- M. Reed, B. Simon, Methods of Modern Mathematical Physics. Vol. II: Fourier Analysis, Self-Adjointness, Academic Press, New York San Francisco London, 1975. MR 58:12429b
- [S]
- I. M. Singer, Families of Dirac Operators with Applications in Physics, Élie Cartan et les Mathématiques d'Aujourd'hui, Astérisque, Soc. Math. France, Paris, 1985, pp. 323-340. MR 88a:58192
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Additional Information:
Nicolae
Anghel
Affiliation:
Department of Mathematics, University of North Texas, Denton, Texas 76203
Email:
anghel@sol.acs.unt.edu
DOI:
10.1090/S0002-9939-96-03475-2
PII:
S 0002-9939(96)03475-2
Keywords:
Spin manifold,
Dirac operator,
metric connection,
harmonic spinor,
generic vanishing
Received by editor(s):
May 9, 1995
Additional Notes:
Research supported in part by the Texas Advanced Research Program under Grant No. 003594-071.
Communicated by:
Peter Li
Copyright of article:
Copyright
1996,
American Mathematical Society
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