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- Takeshi Isobe
- Graduate School of Economics, Hitotsubashi University, 2-1 Naka, Kunitachi, Tokyo 186-8601, Japan
説明
<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>
収録刊行物
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- Journal of Topology and Analysis
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Journal of Topology and Analysis 1-83, 2024-02-21
World Scientific Pub Co Pte Ltd
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詳細情報 詳細情報について
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- CRID
- 1360302865539157376
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- ISSN
- 17937167
- 17935253
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- データソース種別
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- Crossref
- KAKEN
- OpenAIRE