Calibrated Submanifolds
Jason D. Lotay
TL;DR
This paper introduces calibrated submanifolds within special holonomy manifolds, highlighting key examples and fundamental techniques in Calabi-Yau, G2, and Spin(7) geometries.
Contribution
It provides an accessible overview of calibrated geometry in special holonomy contexts, emphasizing core results and methods.
Findings
Key examples of calibrated submanifolds in special holonomy manifolds
Fundamental techniques in calibrated geometry
Connections between calibration and special holonomy structures
Abstract
We provide an introduction to the theory of calibrated submanifolds through the key examples related with special holonomy. We focus on calibrated geometry in Calabi-Yau, G and Spin(7) manifolds, and describe fundamental results and techniques in the field.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Geometric and Algebraic Topology