Dominik Gutwein

activity

20232026

collaborators

4 papers

math.DG2026

Deformations of harmonic maps with conical singularities

Dominik Gutwein, Thibault Langlais

We study the deformation theory of harmonic maps with isolated singularities between compact Riemannian manifolds, in the case where all the tangent maps are smooth (away from the…

math.DG2026

The moduli space of conically singular instantons over an SU(3)-manifold

Dominik Gutwein, Yuanqi Wang

In this article we study the moduli space of conically singular instantons (or Hermitian Yang--Mills connections) with prescribed tangent connections over a 6-manifold equipped wit…

math.DG2025

A smooth family of $G_{2}$ -instantons over a generalised Kummer construction

Dominik Gutwein

We construct a smooth 1-parameter family of $G_{2}$ -instantons over a generalised Kummer construction desingularising a $G_{2}$ -orbifold discovered by Joyce. For this we extend the glu…

math.DG2023

Coassociative submanifolds in Joyce's generalised Kummer constructions

Dominik Gutwein

This article constructs coassociative submanifolds in $G_{2}$ -manifolds arising from Joyce's generalised Kummer construction. The novelty compared to previous constructions is that t…

Deformations of harmonic maps with conical singularities

The moduli space of conically singular instantons over an SU(3)-manifold

A smooth family of G2​-instantons over a generalised Kummer construction

Coassociative submanifolds in Joyce's generalised Kummer constructions

A smooth family of $G_{2}$ -instantons over a generalised Kummer construction