Bogomolov-Tian-Todorov theorem for Calabi-Yau categories
Isamu Iwanari
TL;DR
This paper extends the Bogomolov-Tian-Todorov theorem, originally for Calabi-Yau manifolds, to the broader context of Calabi-Yau categories, advancing the understanding of their deformation theory.
Contribution
It provides a generalized version of the Bogomolov-Tian-Todorov theorem applicable to Calabi-Yau categories, expanding its scope beyond classical geometric cases.
Findings
Established unobstructed deformation theory for Calabi-Yau categories
Generalized classical theorems to categorical settings
Enhanced understanding of Calabi-Yau structures in algebraic geometry
Abstract
We prove a generalization of Bogomolov-Tian-Todorov theorem to Calabi-Yau categories.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons