3 papers
math.AT2026
Point-set models for homotopy coherent coalgebras
Dan Petersen, Victor Roca i Lucio, Sinan Yalin
We show a first rectification result for homotopy chain coalgebras over a field. On the one hand, we consider the -category obtained by localizing differential graded coalg…
math.AT2026
Unifying Koszul dualities via point-set models
Dan Petersen, Victor Roca i Lucio, Sinan Yalin
The classical bar-cobar adjunction between dg algebras and dg coalgebras goes back to the origins of differential homological algebra as developed by Cartan, Eilenberg, Moore, and…
math.AT2025
Derived deformation theory of algebraic structures
Gregory Ginot, Sinan Yalin
The main purpose of this article is to develop an explicit derived deformation theory of algebraic structures at a high level of generality, encompassing in a common framework vari…