M. Barata

activity

20192024

collaborators

4 papers

math.AT2024

A dendroidal approach to operadic right modules and manifold calculus

Miguel Barata

In this work we study the homotopy theory of the category $RMod_{P}$ of right modules over a simplicial operad $P$ via the formalism of forest spaces $…

math.CT2024

The right cancellation property for certain classes of dendroidal anodynes

Miguel Barata

We generalize a previous result of Stevenson to the category of dendroidal sets, yielding the right cancellation property of dendroidal inner anodynes within the class of normal mo…

math.AT2022

On the additivity of the little cubes operads

Miguel Barata, Ieke Moerdijk

We give a new proof of Dunn's additivity for the little $n$ -cubes operads $C_{n}$ , which has the advantage of being considerably shorter than the ones in the literature. At the end w…

math.SG2019

Loops in the fundamental group of $Symp (C P^{2} # 5 CP^{2})$ which are not represented by circle actions

Sílvia Anjos, Miguel Barata, Martin Pinsonnault +1

We study generators of the fundamental group of the group of symplectomorphisms $Symp (CP^{2} # 5 CP^{2}, ω)$ for some particul…

A dendroidal approach to operadic right modules and manifold calculus

The right cancellation property for certain classes of dendroidal anodynes

On the additivity of the little cubes operads

Loops in the fundamental group of Symp(CP2#5CP2) which are not represented by circle actions

Loops in the fundamental group of $Symp (C P^{2} # 5 CP^{2})$ which are not represented by circle actions