A note on spherical functors

Abstract

We provide a new and very short proof of the fact that a spherical functor between certain triangulated categories induces an autoequivalence.

Final version. Accepted for publication in Bull. Lond. Math. Soc

References in corpus (2)

• Calabi-Yau and fractional Calabi-Yau categories
• Equivalences of equivariant derived categories

Cited by in corpus (5)

• On multi-pointed non-commutative deformations and Calabi-Yau threefolds
• Universal functors on symmetric quotient stacks of Abelian varieties
• Spherical twists and Lagrangian spherical manifolds
• Frobenius and spherical codomains and neighbourhoods
• Hochschild cohomology and deformations of $\mathbb{P}$-functors