Y. Félix

activity

20022021

most citedRational BV-algebra in String Topology

5 citations · 20 across the 16 of their papers we have counts for

collaborators

18 papers

math.AT2021★ 1 cited

Enriched Lie algebras in topology, I

Yves Felix, Steve Halperin

The complete enriched Lie algebras constitue the natural extension of graded Lie algebras for connected spaces. Each complete enriched Lie algebra is the rational homotopy Lie alge…

math.AT2019

Aspherical completions and rationally inert elements

Yves Felix, Steve Halperin

Let $X$ be a connected space. An element $[f] \in π_{n} (X)$ is called rationally inert if $π_{*} (X) \otimes Q \to π_{*} (X \cup_{f} D^{n + 1}) \otimes Q$ is surjective. We extend t…

math.AT2019★ 1 cited

Sullivan completions

Yves Felix, Steve Halperin

The Sullivan construction associates to each path connected space or connected simplicial set, $X$ , a special cdga, its minimal model $(\land V, d)$ , and to each such cdga $\land W$ …

math.AT2018

The depth of a Riemann surface and of a right-angled Artin group

Yves Felix, Steve Halperin

We consider two families of spaces, $X$ : the closed orientable Riemann surfaces of genus $g > 0$ and the classifying spaces of right-angled Artin groups. In both cases we compare th…

math.AT2018

A note on Gorenstein spaces

Yves Felix, Steve Halperin

Associated with an augmented differential graded algebra $R = R^{\geq 0}$ is a homotopy invariant $T (R)$ . This is a graded vector space, and if $H^{0} (R)$ is the ground fie…

math.AT2017★ 1 cited

Lie models for nilpotent spaces

Yves Félix, José Moreno-Fernández, Daniel Tanré

Let $(L, d)$ be a differential graded Lie algebra, where $L = L (V)$ is free as graded Lie algebra and $V = V_{\geq 0}$ is a finite type graded vector space. We prove that the injection…