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MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
76/2015

Dirac-harmonic maps between Riemann surfaces

Qun Chen, Jürgen Jost, Linlin Sun and Miaomiao Zhu

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.

Received:
Nov 10, 2015
Published:
Nov 10, 2015

Related publications

inJournal
2019 Repository Open Access
Qun Chen, Jürgen Jost, Linlin Sun and Miaomiao Zhu

Dirac-harmonic maps between Riemann surfaces

In: The Asian journal of mathematics, 23 (2019) 1, pp. 107-125