Daniel E. Platt

collaborators

3 papers

math.DG2026

Nowhere-vanishing harmonic 1-forms on real loci of K3-fibred Calabi-Yau 3-folds

Shih-Kai Chiu, Daniel Platt, Calum Spicer

We develop an analytic construction of nowhere-vanishing harmonic $1$ -forms on real loci of K3-fibred Calabi-Yau $3$ -folds with collapsing Ricci-flat KÃ¤hler metrics. We apply our…

math.DG2025

Improved Estimates for $G_{2}$ -structures on the Generalised Kummer Construction

Daniel Platt

The resolution of the $G_{2}$ -orbifold $T^{7} / I^$ , where $I^$ is a suitably chosen finite group, admits a $1$ -parameter family of $G_{2}$ -structures with small torsion $I ¨ ^{t}$ , obtained b…

math.DG2025

Harmonic $1$ -forms on real loci of Calabi-Yau manifolds

Michael R. Douglas, Daniel Platt, Yidi Qi +1

We numerically study whether there exist nowhere vanishing harmonic $1$ -forms on the real locus of some carefully constructed examples of Calabi-Yau manifolds, which would then giv…

Nowhere-vanishing harmonic 1-forms on real loci of K3-fibred Calabi-Yau 3-folds

Improved Estimates for G2​-structures on the Generalised Kummer Construction

Harmonic 1-forms on real loci of Calabi-Yau manifolds

Improved Estimates for $G_{2}$ -structures on the Generalised Kummer Construction

Harmonic $1$ -forms on real loci of Calabi-Yau manifolds