3 papers
math.DG2026
Improved Morse Index Stability for Sequences of Harmonic Maps from Degenerating Riemann Surfaces
Francesca Da Lio, Tristan Rivière, Dominik Schlagenhauf
We study the stability of the extended Morse index, defined as the number of negative and zero eigenvalues of the Jacobi operator, for sequences of harmonic maps on degenerating Ri…
math.AP2025
Morse Index Stability for Sequences of Sacks-Uhlenbeck Maps into a Sphere
Francesca Da Lio, Tristan Rivière, Dominik Schlagenhauf
In this paper we consider sequences of -harmonic maps, , from a closed Riemann surface into the -dimensional sphere with uniform bounded energy. Thes…
math.DG2024
Morse Index Stability for the Ginzburg-Landau Approximation
Francesca Da Lio, Matilde Gianocca
In this paper we study the behaviour of critical points of the Ginzburg-Landau perturbation of the Dirichlet energy into the sphere $E_\varepsilon(u):=\int_Σ\frac{1}{2}|du|^2_h\ \…