8 papers
Odd-primary torsion in the homology of unordered configurations on the torus
Najib Idrissi, Victor Roca i Lucio
The main object of study of this paper is , the unordered configuration space of points in the torus . First, we produce a marked-point transfer argument which,…
Homology of configuration spaces in positive characteristic via point-set constructions
Najib Idrissi, Victor Roca i Lucio
The first goal of this paper is to provide concrete chain complexes computing the homology of (unordered) configuration spaces of manifolds in positive characteristic, lifting a th…
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…
The algebraic structures of social organizations: the operad of cooperative games
Dylan Laplace Mermoud, Victor Roca i Lucio
The main goal of this paper is to settle a conceptual framework for cooperative game theory in which the notion of composition/aggregation of games is the defining structure. This…
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…
Higher Lie theory in positive characteristic
Victor Roca i Lucio
The main goal of this article is to develop integration theory for absolute partition -algebras, which are point-set models for the (spectral) partition Lie algebras of B…