"Morse–Floer theory for superquadratic Dirac-geodesics" by Takeshi Isobe and Ali Maalaoui
 

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

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