Davide Parise

most citedConvergence of the self-dual

U (1)

-Yang-Mills-Higgs energies to the

(n - 2)

-area functional

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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.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

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

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