23 citations · 45 across the 8 of their papers we have counts for
8 papers
Topology of protocells: do nanoholes catalyse fission ?
Romain Attal
We propose a mechanism with a low activation energy for lipid translocation, based on a change of topology of the membrane of a protocell. The inner and outer layers are connected…
Thermally driven fission of protocells
Romain Attal
We propose a simple mechanism for the self-replication of protocells. Our main hypothesis is that the amphiphilic molecules composing the membrane bilayer are synthesised inside th…
Combinatorial Stacks and the Four-Colour Theorem
Romain Attal
We interpret the number of good four-colourings of the faces of a trivalent, spherical polyhedron as the 2-holonomy of the 2-connection of a fibered category, phi, modeled on Rep(s…
Homotopy and duality in non-Abelian lattice gauge theory
Romain Attal
We propose an approach of lattice gauge theory based on a homotopic interpretation of its degrees of freedom. The basic idea is to dress the plaquettes of the lattice to view them…
Combinatorics of Non-Abelian Gerbes with Connection and Curvature
Romain Attal
We give a functorial definition of -gerbes over a simplicial complex when the local symmetry group is non-Abelian. These combinatorial gerbes are naturally endowed with a co…
Two-dimensional parallel transport : combinatorics and functoriality
Romain Attal
We extend the usual notion of parallel transport along a path to triangulated surfaces. A homotopy of paths is lifted into a fibered category with connection and this defines a fun…