Basic properties of symplectic Dirac operators

Communications in Mathematical Physics

Volumn 184, Issue 3, 1997, Pages 629-652

  Habermann, K ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031497431     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050077     Document Type: Article

References (16)

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3. Folland, G.B.: Harmonic Analysis in Phase Space. Annals of Mathematics Studies 122 (1989)
4. Friedrich, Th.: Zur Abhängigkeit des Dirac Operators von der Spin-Struktur. Colloquium Mathematicum Vol. XLVIII, 57-62 (1984)
5. Friedrich, Th., Sulanke, S.: Ein Kriterium für die formale Selbstadjungiertheit des Dirac Operators. Colloquium Mathematicum Vol. XL, 239-247 (1979)
6. Habermann, K.: The Dirac Operator on Symplectic Spinors. Annals of Global Analysis and Geometry 13, 155-168 (1995)
7. Habermann, K.: On the Dependence of the Symplectic Dirac Operator on the Connection defining it and Formal Selfadjointness. Preprint 193, Bochum 1995
8. Habermann, K.: Metaplectic Structures and Dirac Operators over Symplectic Manifolds. Preprint 196, Bochum 1996
9. Habermann, K.: Symplectic Dirac Operators on Kähler Manifolds. In preparation
10. Kashiwara, M., Vergne, M.: On the Segal-Shale-Weil Representations and Harmonic Polynomials. Invent, math. 44, 1-47 (1978)
11. Kobayashi, S., Nomizu, K.: Foundations of Differential Geometry. New York: Intersience Publishers, 1963
12. Kostant, B.: Symplectic Spinors. Symposia Mathematica. Vol. XIV (1974)
13. Salamon, D.: Spin Geometry and Seiberg-Witten Invariants. Manuscript, University of Warwick 1995
14. Tondeur, Ph.: Affine Zusammenhänge auf Mannigfaltigkeiten mit fast-symplektischer Struktur. Comment. Math. Helv. 36, 234-244 (1961)
15. Wallach, N.R.: Symplectic Geometry and Fourier Analysis. MATH SCI PRESS, 1977
16. Wolf, J.A.: Essential Self Adjointness for the Dirac Operator and its Square. Indiana Univ. Math. Journal, Vol. 22, No. 7, 611-640 (1973)