Dominik Gutwein

collaborators

3 papers

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

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…

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…

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

Coassociative submanifolds in Joyce's generalised Kummer constructions

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

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