Notes on a new construction of hyperkahler metrics
Andrew Neitzke
TL;DR
This paper reviews a novel method for constructing hyperkahler metrics using DT invariants and wall-crossing formulas, providing insights into their geometric and algebraic structures.
Contribution
It introduces a new construction approach for hyperkahler metrics based on DT invariants and wall-crossing phenomena, expanding the toolkit for geometric analysis.
Findings
Demonstrates the application of DT invariants in hyperkahler metric construction
Shows the consistency of the construction with wall-crossing formulas
Provides a framework connecting algebraic invariants with geometric structures
Abstract
We review a construction of hyperkahler metrics proposed in joint work of Davide Gaiotto, Greg Moore and the author. A key ingredient in this construction is a collection of integer "DT invariants" obeying the wall-crossing formula of Kontsevich-Soibelman.
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
TopicsGeometry and complex manifolds · Advanced Algebra and Geometry · Nonlinear Waves and Solitons