8 citations · 20 across the 7 of their papers we have counts for
7 papers
Global Koszul duality
Matt Booth, Andrey Lazarev
We construct a monoidal model structure on the category of all curved coalgebras and show that it is Quillen equivalent, via the extended bar-cobar adjunction, to another model str…
The derived deformation theory of a point
Matt Booth
We provide a prorepresenting object for the noncommutative derived deformation problem of deforming a module over a differential graded algebra. Roughly, we show that the corre…
Physics and science: the art of taking a stance about undecidable questions
Fabien Paillusson, Matthew Booth
In the past century many fundamental results on unpredictability, undecidability and uncertainty have compelled scientists to grapple with the idea that some questions may never be…
Singularity categories via the derived quotient
Matt Booth
Given a noncommutative partial resolution of a Gorenstein singularity , we show that the relative singularity category of Kalck-Yang is co…
The derived contraction algebra
Matt Booth
A version of the Bondal-Orlov conjecture, proved by Bridgeland, states that if and are smooth complex projective threefolds linked by a flop, then they are derived equivale…
The derived contraction algebra
Matt Booth
Using Braun-Chuang-Lazarev's derived quotient, we enhance the contraction algebra of Donovan-Wemyss to an invariant valued in differential graded algebras. Given an isolated contra…
Noncommutative deformation theory, the derived quotient, and DG singularity categories
Matt Booth
We show that Braun-Chuang-Lazarev's derived quotient prorepresents a naturally defined noncommutative derived deformation functor. Given a noncommutative partial resolution of a Go…