11 citations · 18 across the 10 of their papers we have counts for
10 papers
Flows of geometric structures II
Daniel Fadel, Udhav Fowdar, Eric Loubeau +2
We advance the general theory of flows of tensorial -structures, focusing on non-isometric flows and on the case . Afte…
Asymptotically Z-stable bundles over projective surfaces
Luiz Lara, Henrique N. Sá Earp
We study the existence of asymptotically -stable (a.Z stable) bundles over polycyclic surfaces. Our choice of polynomial central charge is related to the existence of solutions…
Minimising Willmore Energy via Neural Flow
Edward Hirst, Henrique N. Sá Earp, Tomás S. R. Silva
The neural Willmore flow of a closed oriented -surface in is introduced as a natural evolution process to minimise the Willmore energy, which is the squared …
Neural and numerical methods for -structures on contact Calabi-Yau 7-manifolds
Elli Heyes, Edward Hirst, Henrique N. Sá Earp +1
A numerical framework for approximating -structure 3-forms on contact Calabi-Yau manifolds is presented. The approach proceeds in three stages: first, existing neural…
The exterior derivative and the mean value equality in
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…
Isolated singularities in -structures with torsion
Henrique Sá Earp, Jakob Stein
We revisit the study of -structures with special torsion, and isolated singularities. Many of the known examples with conical singularities admit additional symmetries, and we…
Local descriptions of the heterotic SU(3) moduli space
Hannah de Lázari, Jason D. Lotay, Henrique Sá Earp +1
The heterotic system, also known as the Hull--Strominger system, arises from compactifications of heterotic string theory to six dimensions. This paper investigates the loc…
Machine learning Sasakian and topology on contact Calabi-Yau -manifolds
Daattavya Aggarwal, Yang-Hui He, Elli Heyes +3
We propose a machine learning approach to study topological quantities related to the Sasakian and -geometries of contact Calabi-Yau -manifolds. Specifically, we compute da…
Constructive Spherical Codes by Hopf Foliations
Henrique K. Miyamoto, Sueli I. R. Costa, Henrique N. Sá Earp
We present a new systematic approach to constructing spherical codes in dimensions , based on Hopf foliations. Using the fact that a sphere is foliated by manifolds…
Current progress on --instantons over twisted connected sums
Henrique N. Sá Earp
We review a method to construct --instantons over compact --manifolds arising as the twisted connected sum of a matching pair of Calabi-Yau -folds with cylin…