Morse–Floer theory for superquadratic Dirac-geodesics

In this paper we present the full details of the construction of a Morse–Floer type homology related to the superquadratic perturbation of the Dirac-geodesic model. This homology is computed explicitly using a Leray–Serre type spectral sequence and this computation leads us to several existence resu...

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Bibliographic Details
Published in:	Calculus of variations and partial differential equations Vol. 61; no. 6
Main Authors:	Isobe, Takeshi, Maalaoui, Ali
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01-12-2022 Springer Nature B.V
Subjects:	Analysis Calculus of Variations and Optimal Control; Optimization Control Geodesy Homology Mathematical and Computational Physics Mathematics Mathematics and Statistics Perturbation Systems Theory Theoretical 58E20 81T20 58E05
Online Access:	Get full text
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Summary:	In this paper we present the full details of the construction of a Morse–Floer type homology related to the superquadratic perturbation of the Dirac-geodesic model. This homology is computed explicitly using a Leray–Serre type spectral sequence and this computation leads us to several existence results of Dirac-geodesics.
ISSN:	0944-2669 1432-0835
DOI:	10.1007/s00526-022-02305-5