Constructs derived autoequivalences of Gorenstein orders as spherical twists around derived restriction functors and applies the results to G-Hilbert schemes.
Spherical functors
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abstract
This paper has been withdrawn and replaced by arXiv:1309.5035. In this paper we describe some examples of so called spherical functors between triangulated categories, which generalize the notion of a spherical object. We also give sufficient conditions for a collection of spherical functors to yield a weak representation of the category of tangles, and prove a structure theorem for such representations under certain restrictions.
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2026 1verdicts
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Spherical Twists for Gorenstein Orders and $G$-Hilb
Constructs derived autoequivalences of Gorenstein orders as spherical twists around derived restriction functors and applies the results to G-Hilbert schemes.