On the unipotence of autoequivalences of toric complete intersection Calabi-Yau categories
Manfred Herbst, Johannes Walcher
TL;DR
This paper investigates a specific class of autoequivalences in triangulated categories related to Calabi-Yau complete intersections in toric varieties, revealing their algebraic relations tied to toric data.
Contribution
It identifies a class of autoequivalences satisfying relations directly connected to the toric data in Calabi-Yau complete intersection categories.
Findings
Autoequivalences form a class satisfying specific algebraic relations.
Relations among autoequivalences are explicitly linked to toric data.
Provides a framework for understanding symmetries in Calabi-Yau categories.
Abstract
We identify a class of autoequivalences of triangulated categories of singularities associated with Calabi-Yau complete intersections in toric varieties. Elements of this class satisfy relations that are directly linked to the toric data.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology