Derived Category Automorphisms from Mirror Symmetry
Richard Paul Horja
TL;DR
This paper constructs new automorphisms of the derived category of coherent sheaves on Calabi-Yau varieties, inspired by mirror symmetry, advancing understanding of categorical symmetries in algebraic geometry.
Contribution
It introduces novel classes of automorphisms based on the homological mirror symmetry conjecture, expanding the toolkit for studying derived categories.
Findings
New classes of automorphisms constructed
Automorphisms linked to mirror symmetry principles
Enhanced understanding of derived category symmetries
Abstract
Inspired by the homological mirror symmetry conjecture of Kontsevich, we construct new classes of automorphisms of the bounded derived category of coherent sheaves on a smooth Calabi-Yau variety.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Geometric and Algebraic Topology