2 citations · 4 across the 9 of their papers we have counts for
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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…
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…
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…
Symmetric operads from a planar point of view
Brice Le Grignou, Victor Roca i Lucio
The aim of this note is to give a detailed account of how symmetric operads can be constructed from planar (non-symmetric) operads, and to carefully spell out the algebraic interpl…
Homotopical operadic calculus in positive characteristic
Brice Le Grignou, Victor Roca i Lucio
Algebraic operads provide a powerful tool to understand the homotopy theory of the types of (co)algebras they encode. So far, the principal results and methods that this theory pro…
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…
A new approach to formal moduli problems
Brice Le Grignou, Victor Roca i Lucio
The main goal of this paper is to introduce a framework for infinitesimal deformation problems, using new methods coming from operadic calculus. We construct an adjunction between…
The integration theory of curved absolute L-infinity algebras
Victor Roca i Lucio
In this article, we introduce the notion of a curved absolute -algebra, a structure that behaves like a curved -algebra where all infinite s…
Absolute algebras, contramodules, and duality squares
Victor Roca i Lucio
Absolute algebras are a new type of algebraic structures, endowed with a meaningful notion of infinite sums of operations without supposing any underlying topology. Opposite to the…
Curved operadic calculus
Victor Roca i Lucio
Curved algebras are a generalization of differential graded algebras which have found numerous applications recently. The goal of this foundational article is to introduce the noti…