Davide Parise

activity

20212025

U (1)

-Yang-Mills-Higgs energies to the

(n - 2)

-area functional

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.DG2025

Nonabelian Yang-Mills-Higgs and Plateau's problem in codimension three

Davide Parise, Alessandro Pigati, Daniel Stern

We investigate the asymptotic behavior of the $SU (2)$ -Yang-Mills-Higgs energy $E (Φ, A) = \int_{M} ∣ d_{A} Φ ∣^{2} + ∣ F_{A} ∣^{2}$ in the large mass limit, proving convergence to the codimensi…

math.DG2023

The Parabolic $U (1)$ -Higgs Equations and Codimension-two Mean Curvature Flows

Davide Parise, Alessandro Pigati, Daniel Stern

We develop the asymptotic analysis as $ε \to 0$ for the natural gradient flow of the self-dual $U (1)$ -Higgs energies $$E_ε(u,\nabla)=\int_M\left(|\nabla u|^2+ε^2|F_{\nabla}|^2+\frac…

math.DG2021★ 1 cited

Convergence of the self-dual $U (1)$ -Yang-Mills-Higgs energies to the $(n - 2)$ -area functional

Davide Parise, Alessandro Pigati, Daniel Stern

Given a hermitian line bundle $L \to M$ on a closed Riemannian manifold $(M^{n}, g)$ , the self-dual Yang-Mills-Higgs energies are a natural family of functionals \begin{align*} &E_ε(u,…

Nonabelian Yang-Mills-Higgs and Plateau's problem in codimension three

The Parabolic U(1)-Higgs Equations and Codimension-two Mean Curvature Flows

Convergence of the self-dual U(1)-Yang-Mills-Higgs energies to the (n−2)-area functional

The Parabolic $U (1)$ -Higgs Equations and Codimension-two Mean Curvature Flows

Convergence of the self-dual $U (1)$ -Yang-Mills-Higgs energies to the $(n - 2)$ -area functional