TL;DR
This paper presents a concise proof demonstrating that spherical functors between specific triangulated categories lead to autoequivalences, simplifying understanding of their structural implications.
Contribution
It offers a new, shorter proof of the autoequivalence property induced by spherical functors in certain triangulated categories.
Findings
Spherical functors induce autoequivalences in certain categories
The proof simplifies previous arguments
Clarifies the conditions under which autoequivalence occurs
Abstract
We provide a new and very short proof of the fact that a spherical functor between certain triangulated categories induces an autoequivalence.
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