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Derived Category Automorphisms from Mirror Symmetry

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arxiv math/0103231 v2 pith:5AMZMBQB submitted 2001-03-30 math.AG hep-th

Richard Paul Horja This is my paper · ORCID
classification math.AGhep-th
keywords automorphismscategoryderivedmirrorsymmetryboundedcalabi-yauclasses
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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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Cited by 2 Pith papers

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  1. GLSM monodromy on quantum period lattice of Calabi-Yau fourfold flops

    hep-th 2026-08 conditional novelty 6.0 of 10

    For Calabi-Yau fourfold flops, the window-shift monodromy equals an EZ twist composed with tensoring by the canonical bundle, and in two example families this twist decomposes into spherical twists.

  2. Monodromy of Calabi-Yau threefold flops via grade restriction rule and their quantum Kahler moduli

    hep-th 2026-05 unverdicted novelty 5.0 of 10

    Derives general formula for monodromy action on B-brane charge lattice via hemisphere partition functions in GLSMs and refines it for examples using quantum Kähler discriminant and torus link fundamental groups.

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