Showing 2018Show all
3 papers · 1 filter
math.OA2018
Gluing action groupoids: Fredholm conditions and layer potentials
Catarina Carvalho, Rémi Côme, Yu Qiao
This paper is a merge of arXiv:1807.05418 and arXiv:1808.01442. We introduce a new class of groupoids, called "boundary action groupoids", which are obtained by gluing reductions o…
math.OA2018
The Fredholm property for groupoids is a local property
Rémi Côme
Fredholm Lie groupoids were introduced by Carvalho, Nistor and Qiao as a tool for the study of partial differential equations on open manifolds. This article extends the definition…
math.DG2018
Gluing action groupoids: differential operators and Fredholm conditions
Rémi Côme
We prove some Fredholm conditions for many algebras of differential operators on particular classes of open manifolds, which include asymptotically Euclidean or asymptotically hype…