F
François Charest
Researcher at Columbia University
Publications - 5
Citations - 74
François Charest is an academic researcher from Columbia University. The author has contributed to research in topics: Symplectic geometry & Moduli space. The author has an hindex of 4, co-authored 5 publications receiving 69 citations.
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Floer trajectories and stabilizing divisors
François Charest,Chris Woodward +1 more
TL;DR: In this paper, pearly Floer trajectories are incorporated into the tranversality scheme for pseudoholomorphic maps introduced by Cieliebak-Mohnke (J Symplectic Geom 5(3): 281-356, 2007).
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Floer theory and flips
François Charest,Chris Woodward +1 more
TL;DR: In this article, it was shown that blowups or reverse flips of rational symplectic manifolds with point centers create Floer-non-trivial Lagrangian tori.
Journal Article
Source spaces and perturbations for cluster complexes
TL;DR: In this paper, the authors define objects made of marked complex disks connected by metric line segments and construct nonsymmetric and symmetric moduli spaces of these objects, which allow choices of coherent perturbations over the corresponding versions of the Floer trajectories proposed by Cornea and Lalonde.
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Fukaya algebras via stabilizing divisors
François Charest,Chris Woodward +1 more
TL;DR: In this paper, the authors used the technique of stabilizing divisors introduced by Cieliebak-Mohnke to construct finite dimensional, strictly unital Fukaya algebras of compact, oriented, relatively spin Lagrangians in compact symplectic manifolds with rational symplectic classes.
Posted Content
Floer trajectories and stabilizing divisors
François Charest,Chris Woodward +1 more
TL;DR: In this paper, pearly Floer trajectories are incorporated into the transversality scheme for pseudoholomorphic maps introduced by Cieliebak-Mohnke, which gives a definition of Floer cohomology over Novikov rings via stabilizing divisors for compact symplectic manifolds with rational symplectic classes and Lagrangians that are fixed point sets of anti-symplectic involutions satisfying certain Maslov index conditions.