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math.AG2019
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…
math.AG2019★ 5 cited
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…
math.AG2018
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…