Caleb Suan

activity

20222026

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math.DG2024

Anomaly Flow: Shi-Type Estimates and Long-time Existence

Caleb Suan

We consider the long-time existence of the anomaly flow on a compact complex $3$ -fold with general slope parameter $α^{'}$ . In particular, we obtain integral Shi-type estimates for th…

math.DG2024

Laplacian coflows of $G_{2}$ -structures on contact Calabi--Yau 7-manifolds

Henrique N. Sá Earp, Julieth Saavedra, Caleb Suan

We explore three versions of the Laplacian coflow of $G_{2}$ -structures on circle fibrations over Calabi--Yau 3-folds, interpreting their dimensional reductions to the Kähler geometr…

math.DG2024

Gromov-Hausdorff continuity of non-Kähler Calabi-Yau conifold transitions

Benjamin Friedman, Sébastien Picard, Caleb Suan

We study the geometry of Calabi-Yau conifold transitions. This deformation process is known to possibly connect a Kähler threefold to a non-Kähler threefold. We use balanced and He…

Anomaly Flow: Shi-Type Estimates and Long-time Existence

Laplacian coflows of G2​-structures on contact Calabi--Yau 7-manifolds

Gromov-Hausdorff continuity of non-Kähler Calabi-Yau conifold transitions

Laplacian coflows of $G_{2}$ -structures on contact Calabi--Yau 7-manifolds