Mukai duality on K3 surfaces from the differential geometric perspective
Yang Li
TL;DR
This paper explores Mukai duality on K3 surfaces using differential geometry, aiming to support a companion study on duality in adiabatic coassociative K3 fibrations.
Contribution
It provides a differential geometric framework for understanding Mukai duality on K3 surfaces, tailored for applications in coassociative fibrations.
Findings
Develops a differential geometric approach to Mukai duality
Connects duality theory with coassociative K3 fibrations
Lays groundwork for further geometric analysis of duality phenomena
Abstract
This paper treats the theory of Mukai duality on K3 surfaces from the differential geometric perspective, taylored to the need of the author's companion paper about Mukai duality of adiabatic coassociative K3 fibrations.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology · Advanced Differential Geometry Research