1 citations · 1 across the 4 of their papers we have counts for
11 papers
Braids on surfaces and finite type invariants
Paolo Bellingeri, Louis Funar
We prove that there is no functorial universal finite type invariant for braids in if the genus of is positive.
On a universal mapping class group of genus zero
Louis Funar, Christophe Kapoudjian
The aim of this paper is to introduce a group containing the mapping class groups of all genus zero surfaces. Roughly speaking, such a group is intended to be a discrete analogue o…
The ends of manifolds with bounded geometry, linear growth and finite filling area
Louis Funar, Renata Grimaldi
We prove that simply connected open Riemannian manifolds of bounded geometry, linear growth and sublinear filling growth (e.g. finite filling area) are simply connected at infinity…
A refinement of the simple connectivity at infinity of groups
Louis Funar, Daniele Ettore Otera
We give another proof for a result of Brick stating that the simple connectivity at infinity is a geometric property of finitely presented groups. This allows us to define the rate…
On smooth maps with finitely many critical points
Dorin Andrica, Louis Funar
We compute the minimum number of critical points of a small codimension smooth map between two manifolds. We give as well some partial results for the case of higher codimension wh…
The graded cobordism group of codimension-one immersions
Louis Funar, Rosa Gini
The cobordism group of codimension-one immersions in the -manifold has a natural filtration induced by any cellular decomposition. The problem addressed in this p…