H. S. Earp

activity

20182026

G_{2}

topology on contact Calabi-Yau

7

-manifolds

11 citations · 18 across the 10 of their papers we have counts for

collaborators

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8 papers · 1 filter

math.DG2026

Flows of geometric structures II

Daniel Fadel, Udhav Fowdar, Eric Loubeau +2

We advance the general theory of flows of tensorial $H$ -structures, focusing on non-isometric flows and on the case $H = SU (m) \subset SO (2 m)$ . Afte…

math.DG2026

Minimising Willmore Energy via Neural Flow

Edward Hirst, Henrique N. Sá Earp, Tomás S. R. Silva

The neural Willmore flow of a closed oriented $2$ -surface in $R^{3}$ is introduced as a natural evolution process to minimise the Willmore energy, which is the squared $L^{2}$ …

math.DG2026

Neural and numerical methods for $G_{2}$ -structures on contact Calabi-Yau 7-manifolds

Elli Heyes, Edward Hirst, Henrique N. Sá Earp +1

A numerical framework for approximating $G_{2}$ -structure 3-forms on contact Calabi-Yau manifolds is presented. The approach proceeds in three stages: first, existing neural…

math.DG2025

The exterior derivative and the mean value equality in $R^{n}$

Daniel Fadel, Henrique N. Sá Earp, Tomás S. R. Silva

This survey revisits classical results in vector calculus and analysis by exploring a generalised perspective on the exterior derivative, interpreting it as a measure of "infinites…

math.DG2025

Isolated singularities in $G_{2}$ -structures with torsion

Henrique Sá Earp, Jakob Stein

We revisit the study of $G_{2}$ -structures with special torsion, and isolated singularities. Many of the known examples with conical singularities admit additional symmetries, and we…

math.DG2024

Local descriptions of the heterotic SU(3) moduli space

Hannah de Lázari, Jason D. Lotay, Henrique Sá Earp +1

The heterotic $S U (3)$ system, also known as the Hull--Strominger system, arises from compactifications of heterotic string theory to six dimensions. This paper investigates the loc…

math.DG2023★ 11 cited

Machine learning Sasakian and $G_{2}$ topology on contact Calabi-Yau $7$ -manifolds

Daattavya Aggarwal, Yang-Hui He, Elli Heyes +3

We propose a machine learning approach to study topological quantities related to the Sasakian and $G_{2}$ -geometries of contact Calabi-Yau $7$ -manifolds. Specifically, we compute da…

math.DG2018★ 2 cited

Current progress on $G_{2}$ --instantons over twisted connected sums

Henrique N. Sá Earp

We review a method to construct $G_{2}$ --instantons over compact $G_{2}$ --manifolds arising as the twisted connected sum of a matching pair of Calabi-Yau $3$ -folds with cylin…

Flows of geometric structures II

Minimising Willmore Energy via Neural Flow

Neural and numerical methods for G2​-structures on contact Calabi-Yau 7-manifolds

The exterior derivative and the mean value equality in Rn

Isolated singularities in G2​-structures with torsion

Local descriptions of the heterotic SU(3) moduli space

Machine learning Sasakian and G2​ topology on contact Calabi-Yau 7-manifolds

Current progress on G2​--instantons over twisted connected sums

Neural and numerical methods for $G_{2}$ -structures on contact Calabi-Yau 7-manifolds

The exterior derivative and the mean value equality in $R^{n}$

Isolated singularities in $G_{2}$ -structures with torsion

Machine learning Sasakian and $G_{2}$ topology on contact Calabi-Yau $7$ -manifolds

Current progress on $G_{2}$ --instantons over twisted connected sums