Alexandre Baldare

activity

20182021

most citedThe index of leafwise G-transversally elliptic operators on foliations

4 citations · 7 across the 7 of their papers we have counts for

collaborators

8 papers

math.KT2021

The index of families of projective operators

Alexandre Baldare

Let $1 \to Γ \to G ~ \to G \to 1$ be a central extension by an abelian finite group. In this paper, we compute the index of families of $G ~$ -transversally elliptic oper…

math.DG2021

A general Simonenko local principle and Fredholm condition for isotypical components

Alexandre Baldare

In this paper, we derive, from a general Simonenko's local principle, Fredholm criteria for restriction to isotypical components. More precisely, we give a full proof, of the equiv…

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★ 2 cited

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★ 4 cited

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★ 1 cited

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…