47 citations · 417 across the 31 of their papers we have counts for
33 papers
Representations of the Chekanov-Eliashberg algebra from closed exact Lagrangians I
Baptiste Chantraine, Georgios Dimitroglou Rizell, Paolo Ghiggini
This is the first of a series of two articles aiming at relating the compact Fukaya category of a Weinstein manifold to the derived category of finite dimensional representations o…
Sutured Heegaard Floer and embedded contact homologies are isomorphic
Vincent Colin, Paolo Ghiggini, Ko Honda
We prove the equivalence of the sutured versions of Heegaard Floer homology, monopole Floer homology, and embedded contact homology. As applications we show that the knot versions…
Knot Floer homology of fibred knots and Floer homology of surface diffeomorphisms
Paolo Ghiggini, Gilberto Spano
We prove that the Knot Floer homology group of a fibred knot of genus g in the Alexander grading 1-g is isomorphic to a version of the fixed point Floer homology of an area-preserv…
On the symplectic fillings of standard real projective spaces
Paolo Ghiggini, Klaus Niederkrüger-Eid
We prove, in a geometric way, that the standard contact structure on the real projective space of dimension is not Liouville fillable for and odd. We also prove th…
An exposition of the equivalence of Heegaard Floer homology and embedded contact homology
Paolo Ghiggini, Vincent Colin, Ko Honda
This article is a survey on the authors' proof of the isomorphism between Heegaard Floer homology and embedded contact homology appeared in This article is a survey on the authors'…
Holomorphic spheres and four-dimensional symplectic pairs
Gianluca Bande, Paolo Ghiggini
We classify four-dimensional manifolds endowed with symplectic pairs admitting embedded symplectic spheres with non-negative self-intersection, following the strategy of McDuff's c…