Bridgeland stability conditions on twisted Kummer surfaces
Magnus Engenhorst
TL;DR
This paper constructs a topological embedding of Bridgeland stability conditions from a twisted Abelian surface into its associated twisted Kummer surface, utilizing orbifold conformal field theory methods.
Contribution
It introduces a novel embedding of stability conditions between twisted Abelian surfaces and Kummer surfaces, expanding understanding of their stability manifolds.
Findings
Successful construction of the embedding.
Application of orbifold conformal field theory methods.
Enhanced understanding of stability conditions on Kummer surfaces.
Abstract
We construct a topological embedding of the maximal connected component of Bridgeland stability conditions of a (twisted) Abelian surface into the distinguished connected component of the stability manifold of the associated (twisted) Kummer surface. We use methods developed for orbifold conformal field theories.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Geometric and Algebraic Topology