Thorsten Hertl

collaborators

4 papers

math.AT2026

Homotopical Robustness of Isometries on the Cayley Plane

Thorsten Hertl, Isla Lim

We compute the effect of the inclusion $F_{4} \to hAut (O P^{2})$ on rational homotopy groups by determining the rational homotopy class of the isometr…

math.AT2026

Fibrewise Orbifold Resolutions with Applications to $G_{2}$ -Moduli Spaces

Thorsten Hertl

By resolving the singularities of tailor-made orbifolds via twisted families of blow-ups, we construct manifold bundles $M \to E \to S^{2}$ . Using tools from real hom…

math.DG2025

Moduli Spaces of Positive Curvature Metrics in Dimension Four and Beyond

Thorsten Hertl

We construct non-trivial elements in the homotopy groups of the observer moduli space of positive sectional curvature metrics on $C P^{n}$ and non-trivial elements in the hom…

math.GT2025

Path components of $G_{2}$ -moduli spaces may be non-aspherical

Diarmuid Crowley, Sebastian Goette, Thorsten Hertl

Starting from Joyce's generalised Kummer construction, we exhibit non-trivial families of $G_{2}$ -manifolds over the two dimensional sphere by resolving singularities with a…

Homotopical Robustness of Isometries on the Cayley Plane

Fibrewise Orbifold Resolutions with Applications to G2​-Moduli Spaces

Moduli Spaces of Positive Curvature Metrics in Dimension Four and Beyond

Path components of G2​-moduli spaces may be non-aspherical

Fibrewise Orbifold Resolutions with Applications to $G_{2}$ -Moduli Spaces

Path components of $G_{2}$ -moduli spaces may be non-aspherical