Jason D. Lotay

activity

20242026

collaborators

4 papers

math.DG2026

Eigenforms and special holonomy

Bobby Acharya, Lucía Cabrera, Simone Corbo +1

We prove existence and non-existence results for $L^{2}$ eigenforms for the Hodge Laplacian on complete non-compact Ricci flat manifolds with special holonomy, with a particular focu…

math.DG2026

Nearly $G_{2}$ -manifolds and $G_{2}$ -Laplacian co-flows

Jason D. Lotay, Jakob Stein

Nearly $G_{2}$ -structures define positive Einstein metrics in $7$ dimensions and are critical points, up to scale, for a geometric flow of co-closed $G_{2}$ -structures with good analyt…

math.DG2025

Local descriptions of the heterotic SU(3) moduli space

Hannah de LÃ¡zari, Jason D. Lotay, Henrique SÃ¡ 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.DG2024

Neck pinch singularities and Joyce conjectures in Lagrangian mean curvature flow with circle symmetry

Jason D. Lotay, Goncalo Oliveira

In this article we consider the Lagrangian mean curvature flow of compact, circle-invariant, almost calibrated Lagrangian surfaces in hyperkÃ¤hler 4-manifolds with circle symmetry.…

Eigenforms and special holonomy

Nearly G2​-manifolds and G2​-Laplacian co-flows

Local descriptions of the heterotic SU(3) moduli space

Neck pinch singularities and Joyce conjectures in Lagrangian mean curvature flow with circle symmetry

Nearly $G_{2}$ -manifolds and $G_{2}$ -Laplacian co-flows