Morse homology for perturbed Dirac-harmonic maps into flat tori

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  • Takeshi Isobe
    Graduate School of Economics, Hitotsubashi University, 2-1 Naka, Kunitachi, Tokyo 186-8601, Japan

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<jats:p> In this paper, we consider Morse theory for perturbed Dirac-harmonic maps into flat tori. We show that Morse homology can be defined for some classes of perturbations, and that it is determined by a homotopy type of the perturbations. We also give an explicit computation of the homology. As an application, we give a lower bound on the number of perturbed Dirac-harmonic maps in a given component for some classes of perturbations. </jats:p>

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