
Mathematics
Morse–Floer theory for superquadratic Dirac-geodesics
Document Type
Article
Abstract
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.
Publication Title
Calculus of Variations and Partial Differential Equations
Publication Date
12-2022
Volume
61
Issue
6
ISSN
0944-2669
DOI
10.1007/s00526-022-02305-5
Keywords
harmonic map, partial differential equation, manifold
Repository Citation
Isobe, Takeshi and Maalaoui, Ali, "Morse–Floer theory for superquadratic Dirac-geodesics" (2022). Mathematics. 18.
https://commons.clarku.edu/mathematics/18