Morse homology for perturbed Dirac-harmonic maps into flat tori

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Morse homology for perturbed Dirac-harmonic maps into flat tori

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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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詳細情報 詳細情報について

  • CRID
    1010021219001303552
  • DOI
    10.1142/s1793525324500031
  • ISSN
    17937167
    17935253
  • 資料種別
    journal article
  • データソース種別
    • KAKEN
    • OpenAIRE

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