Harmonic symplectic spinors on Riemann surfaces
type: Item
instance of: scholarly article
title: Harmonic symplectic spinors on Riemann surfaces
zbMATH Open document ID: 0892.53016
DOI: 10.1007/BF02677867
author: Katharina Habermann
published in: Manuscripta Mathematica
publication date: 1998-08-03T00:00:00Z
full work available at URL: https://eudml.org/doc/156352
review text: 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.
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53D05
Mathematics Subject Classification ID: 58J60
zbMATH DE Number: 1135235
zbMATH Keywords: harmonic spinors
zbMATH Keywords: Riemann surface
zbMATH Keywords: symplectic spinor
zbMATH Keywords: spectrum of the symplectic spinor Laplacian
reviewed by: Joseph D. Zund
MaRDI profile type: Publication
cites work: Harmonic spinors on Riemann surfaces
cites work: Q4854297
cites work: Spinors and diffeomorphisms
cites work: The Dirac operator on symplectic spinors
cites work: Basic properties of symplectic Dirac operators
cites work: Harmonic spinors
cites work: On the Segal-Shale-Weil representations and harmonic polynomials
cites work: On the Volume Elements on a Manifold
cites work: Q5510503
cites work: Q5646951
cites work: Q5682519
description: scientific article; zbMATH DE number 1135235