D. Fadel

activity

20182026

most citedThe limit of large mass monopoles

4 citations · 5 across the 10 of their papers we have counts for

collaborators

10 papers

math.DG2026

Large mass limits of $G_{2}$ and Calabi--Yau monopoles: calibrated concentration, Higgs zeros, and abelianization

Daniel Fadel, Goncalo Oliveira

We study large mass monopoles with structure group $SU (2)$ or $SO (3)$ on asymptotically conical $G_{2}$ -manifolds and Calabi--Yau $3$ -folds, with fixed asy…

math.DG2026

The large mass limit of monopoles: abelian limits and Dirac singularities

Daniel Fadel

Let $(A_{i}, Φ_{i})$ be finite energy $SU (2)$ monopoles of charge $k > 0$ on an asymptotically conical $3$ -manifold with one end, with masses $m_{i} \to \infty$ . After passing to a s…

math.DG2026

Flows of geometric structures II

Daniel Fadel, Udhav Fowdar, Eric Loubeau +2

We advance the general theory of flows of tensorial $H$ -structures, focusing on non-isometric flows and on the case $H = SU (m) \subset SO (2 m)$ . Afte…

math.DG2026

Topology of isometric classes and flows of geometric structures

Daniel Fadel, Eric Loubeau

We revisit flows of tensorial $H$ -structures for closed and connected Lie subgroups $H ⩽ SO (n)$ , focusing on the topology of isometric classes. We prove that the nat…

math.DG2025

The exterior derivative and the mean value equality in $R^{n}$

Daniel Fadel, Henrique N. Sá Earp, Tomás S. R. Silva

This survey revisits classical results in vector calculus and analysis by exploring a generalised perspective on the exterior derivative, interpreting it as a measure of "infinites…

math.DG2025

$S U (2)$ Yang-Mills-Higgs functional with Higgs self-interaction on $3$ -manifolds

Da Rong Cheng, Daniel Fadel, Luiz Lara

Given a constant $λ > 0$ , for any parameter $ε > 0$ we study critical points of the Yang--Mills--Higgs energy \[ \mathcal{Y}_{\varepsilon}(\nabla,Φ) = \int_M \left(\varepsilo…

math.DG2022

Flows of geometric structures

Daniel Fadel, Eric Loubeau, Andrés J. Moreno +1

We develop an abstract theory of flows of geometric $H$ -structures, i.e., flows of tensor fields defining $H$ -reductions of the frame bundle, for a closed and connected subgroup $H…

math.DG2021

Asymptotics of finite energy monopoles on AC $3$ -manifolds

Daniel Fadel

We study the asymptotic behavior of finite energy $SU (2)$ monopoles, and general critical points of the $SU (2)$ Yang--Mills--Higgs energy, on asymptotically conical $3$ -m…

math.DG2020★ 1 cited

The asymptotic geometry of $G_{2}$ -monopoles

Daniel Fadel, Ákos Nagy, Gonçalo Oliveira

This article investigates the asymptotics of $G_{2}$ -monopoles. First, we prove that when the underlying $G_{2}$ -manifold is nonparabolic (i.e. admits a positive Green's func…

math.DG2018★ 4 cited

The limit of large mass monopoles

Daniel Fadel, Goncalo Oliveira

In this paper, we consider finite energy $SU (2)$ monopoles on an asymptotically conical, oriented Riemannian $3$ -manifold with one end. The connected components of the mod…

Large mass limits of G2​ and Calabi--Yau monopoles: calibrated concentration, Higgs zeros, and abelianization

The large mass limit of monopoles: abelian limits and Dirac singularities

Flows of geometric structures II

Topology of isometric classes and flows of geometric structures

The exterior derivative and the mean value equality in Rn

SU(2) Yang-Mills-Higgs functional with Higgs self-interaction on 3-manifolds

Flows of geometric structures

Asymptotics of finite energy monopoles on AC 3-manifolds

The asymptotic geometry of G2​-monopoles

The limit of large mass monopoles

Large mass limits of $G_{2}$ and Calabi--Yau monopoles: calibrated concentration, Higgs zeros, and abelianization

The exterior derivative and the mean value equality in $R^{n}$

$S U (2)$ Yang-Mills-Higgs functional with Higgs self-interaction on $3$ -manifolds

Asymptotics of finite energy monopoles on AC $3$ -manifolds

The asymptotic geometry of $G_{2}$ -monopoles