Remarks on the Gluing Theorems for Compact Special Lagrangian Submanifolds with Isolated Conical Singularities
Abstract
Let $X$ be a compact special Lagrangian submanifold with isolated conical singularities, and let there exist local smoothings of these singularities. It is then known that under certain hypotheses there exist global smoothings of $X$. We prove the same results under weaker hypotheses. We prove also that amongst these hypotheses that concerning the cohomology classes of $X$ and the local smoothings is strictly necessary. We prove further that the global smoothings are $C^{\infty}$ with respect to the relevant parameters.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Geometry and complex manifolds
Geometric and Algebraic Topology
Publication details
- Journal / source
- Taiwanese Journal of Mathematics
- Volume
- -1
- Issue
- -1
- Publication date
- 1 January 2026
- Language
- EN