10 citations · 56 across the 10 of their papers we have counts for
Showing math.ATShow all
3 papers · 1 filter
math.AT2018★ 5 cited
Homotopy theory of monoids and derived localization
Joe Chuang, Julian Holstein, Andrey Lazarev
We use derived localization of the bar and nerve constructions to provide simple proofs of a number of results in algebraic topology. This includes a recent generalization of Adams…
math.AT2018★ 8 cited
Maurer-Cartan moduli and theorems of Riemann-Hilbert type
Joseph Chuang, Julian Holstein, Andrey Lazarev
We study Maurer-Cartan moduli spaces of dg algebras and associated dg categories and show that, while not quasi-isomorphism invariants, they are invariants of strong homotopy type,…
math.AT2014★ 6 cited
Morita cohomology and homotopy locally constant sheaves
Julian V. S. Holstein
We identify Morita cohomology, which is a categorification of the cohmology of a topological space X, with the category of homotopy locally constant sheaves of perfect complexes on…