Preprint 76/2015

Dirac-harmonic maps between Riemann surfaces

Qun Chen, Jürgen Jost, Linlin Sun, and Miaomiao Zhu

Contact the author: Please use for correspondence this email.
Submission date: 10. Nov. 2015
Pages: 17
Bibtex
Download full preprint: PDF (122 kB)

Abstract:
In this paper, we consider the existence and structure of Dirac-harmonic maps between closed Riemann surfaces. Utilizing the Riemann-Roch formula, we compute the dimension of harmonic spinors along a map, based on which we prove an existence theorem for Dirac-harmonic maps between closed Riemann surfaces. We also obtain a structure theorem for Dirac-harmonic maps between two surfaces if their genera and the degree of the map satisfy a certain relation.

30.11.2017, 01:42