Derived category of moduli of pointed curves -- I

preprint2020arXivOpen access

Abstract

This is the first paper in the sequence devoted to derived category of moduli spaces of curves of genus 00 with marked points. We develop several approaches to describe it equivariantly with respect to the action of the symmetric group permuting marked points. We construct an equivariant full exceptional collection on the Losev-Manin space which categorifies derangements.

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