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Fredholm conditions for operators invariant with respect to compact Lie group actions.

- Alexandre Baldare, R. Come, V. Nistor
- Mathematics
- 7 December 2020

Let $G$ be a compact Lie group acting smoothly on a smooth, compact manifold $M$, let $P \in \psi^m(M; E_0, E_1)$ be a $G$--invariant, classical pseudodifferential operator acting between sections of… Expand

Analysis on singular spaces and index theory

- R. Come
- Mathematics
- 26 June 2020

This thesis is set in the general context of extending the theory of elliptic operators, well-understood in the smooth setting, to so-called singular domains. The methods used rely on operator… Expand

Fredholm conditions and index for restrictions of invariant pseudodifferential operators to isotypical components

- Alexandre Baldare, R. Come, M. Lesch, V. Nistor
- Mathematics
- 2 April 2020

Let $\Gamma$ be a finite group acting on a smooth, compact manifold $M$, let $P \in \psi^m(M; E_0, E_1)$ be a $\Gamma$-invariant, classical pseudodifferential operator acting between sections of two… Expand

Fredholm conditions for restrictions of invariant pseudodifferential operators to isotypical components

Let Γ be a finite group acting on a smooth, compact manifold M , let P ∈ ψ(M ;E0, E1) be a Γ-invariant, classical pseudodifferential operator acting between sections of two vector bundles Ei → M , i… Expand

Gluing action groupoids: differential operators and Fredholm conditions

- R. Come
- Mathematics
- 4 August 2018

We prove some Fredholm conditions for many algebras of differential operators on particular classes of open manifolds, which include asymptotically Euclidean or asymptotically hyperbolic manifolds.… Expand

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Fredholm conditions for invariant operators: finite abelian groups and boundary value problems

- Alexandre Baldare, R. Come, M. Lesch, V. Nistor
- Mathematics
- 5 November 2019

We answer the question of when an invariant pseudodifferential operator is Fredholm on a fixed, given isotypical component. More precisely, let $\Gamma$ be a compact group acting on a smooth,… Expand

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Gluing action groupoids: Fredholm conditions and layer potentials.

- C. Carvalho, R. Come, Yu Qiao
- Mathematics
- 16 November 2018

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 of action… Expand

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The Fredholm property for groupoids is a local property

- R. Come
- Mathematics
- 15 October 2018

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 to the setting of… Expand

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