Thorsten Hertl

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20222026

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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.AT2022

Line Bundle Twists for Unitary Bordism are Ghosts

Thorsten Hertl

We prove that the canonical twist $ζ : K (Z, 3) \to B G L_{1} (M S p i n^{c})$ does not extend to a twist for unitary bordism by showing that every continuous map $f \colon…

Homotopical Robustness of Isometries on the Cayley Plane

Fibrewise Orbifold Resolutions with Applications to G2​-Moduli Spaces

Line Bundle Twists for Unitary Bordism are Ghosts

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