Tristan Rivière

activity

20152026

most citedCoulomb Gauges and Regularity for Stationary Weak Yang

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Mills Connections in Supercritical Dimension

1 citations · 1 across the 12 of their papers we have counts for

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math.AP2026

Gauge Symmetry Breaking in the Asymptotic Analysis of Self Dual Yang-Mills-Higgs $S U (2)$ Monopoles

Tristan Rivière

We consider the $S U (2)$ Self-Dual Yang Mills Higgs Lagrangian in 3 dimension. By adding a ''Gauge Mass'' term to this YMH Lagrangian in the form of $L^{2}$ norm of the connection we…

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…

Gauge Symmetry Breaking in the Asymptotic Analysis of Self Dual Yang-Mills-Higgs SU(2) Monopoles

Improved Morse Index Stability for Sequences of Harmonic Maps from Degenerating Riemann Surfaces

Gauge Symmetry Breaking in the Asymptotic Analysis of Self Dual Yang-Mills-Higgs $S U (2)$ Monopoles