English

An operadic proof of the BTT Theorem

Algebraic Topology 2024-10-14 v1 Algebraic Geometry

Abstract

In this note, we explain an operadic proof of the BTT Theorem stating that the deformation theory of Calabi-Yau varieties is unobstructed. We also provide a short new proof of the non-commutative BTT for Calabi-Yau dg-categories. Finally, we observe that our proof also produces partial results in positive characteristic.

Keywords

Cite

@article{arxiv.2410.08786,
  title  = {An operadic proof of the BTT Theorem},
  author = {Joana Cirici and Geoffroy Horel},
  journal= {arXiv preprint arXiv:2410.08786},
  year   = {2024}
}

Comments

Submitted to the proceedings of the conference "Derived Lie Algebras in Geometry and Topology"

R2 v1 2026-06-28T19:17:47.612Z