Harmonic symplectic spinors on Riemann surfaces
Following the author's recent work [\textit{K. Habermann}, Ann. Global Anal. Geom. 13, 155--168 (1995; Zbl 0842.58042); Commun. Math. Phys. 184, 629--652 (1997; Zbl 1008.58024)], the present investigation is devoted to harmonic symplectic spinors on Riemann surfaces. The author describes the number of linearly independent symplectic spinors admitted on various Riemann surfaces and computes the spectrum of the symplectic spinor Laplacian on the complex projective space of dimension one. Contents include: an introduction; preliminaries and basic concepts (symplectic spinors, invariance under diffeomorphisms); harmonic symplectic spinors on Riemann surfaces.
spectrum of the symplectic spinor Laplacian
scientific article; zbMATH DE number 1135235