Alexandre Baldare

activity

20182020

collaborators

6 papers

math.FA2020

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

Alexandre Baldare, Rémi Côme, Victor Nistor

Let $G$ be a compact Lie group acting smoothly on a smooth, compact manifold $M$ , let $P \in ψ^{m} (M; E_{0}, E_{1})$ be a $G$ --invariant, classical pseudodifferential operator acting bet…

math.DG2020

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

A. Baldare, R. Côme, M. Lesch +1

Let $Γ$ be a compact group acting on a smooth, compact manifold $M$ , let $P \in ψ^{m} (M; E_{0}, E_{1})$ be a $Γ$ -invariant, classical pseudodifferential operator acting between sections…

math.KT2020

The index of leafwise G-transversally elliptic operators on foliations

Alexandre Baldare, Moulay-Tahar Benameur

We introduce and study the index morphism for G-invariant leafwise G-transversally elliptic operators on smooth closed foliated manifolds which are endowed with leafwise actions of…

math.OA2019

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

Alexandre Baldare, Rémi Côme, Matthias Lesch +1

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

math.KT2018

The index of G-transversally elliptic families II

Alexandre Baldare

We define the Chern character of the index class of a $G$ -invariant family of $G$ -transversally elliptic operators, see [6]. Next we study the Berline-Vergne formula for families i…

math.KT2018

The index of G-transversally elliptic families I

Alexandre Baldare

We define and study the index map for families of $G$ -transversally elliptic operators and introduce the multiplicity for a given irreducible representation as a virtual bundle ove…