Adrien Currier

collaborators

3 papers

math.SG2026

Derived sheaves in locally conformally symplectic geometry

Adrien Currier

In this paper, we use derived sheaves to study rigidity phenomena in the cotangent bundles of manifolds endowed with some locally conformally symplectic ( $lcs$ ) structure. T…

math.SG2025

Morse-Novikov homology and $I^^{2}$ -critical points

Adrien Currier

Given a manifold $M$ , some closed $I^^{2} \in I^c ◯^{1} (M)$ and a map $f \in C^{\infty} (M)$ , a $I^^{2}$ -critical point is some $x \in M$ such that $d_{I^}^{2} f_{x} = 0$ for the Lichnerowicz derivative $d_{I^}^{2}$ …

math.SG2025

On the projection of exact Lagrangians in locally conformally symplectic geometry

Adrien Currier

In this paper, we construct examples of exact Lagrangians (of "locally conformally symplectic" type) in cotangent bundles of closed manifolds with locally conformally symplectic (l…

Derived sheaves in locally conformally symplectic geometry

Morse-Novikov homology and I^2-critical points

On the projection of exact Lagrangians in locally conformally symplectic geometry

Morse-Novikov homology and $I^^{2}$ -critical points