  We outline an interpretation of Heegaard-Floer homology of 3-manifolds
(closed or with boundary) in terms of the symplectic topology of symmetric
products of Riemann surfaces, as suggested by recent work of Tim Perutz and
Yanki Lekili. In particular we discuss the connection between the Fukaya
category of the symmetric product and the bordered algebra introduced by Robert
Lipshitz, Peter Ozsvath and Dylan Thurston, and recast bordered Heegaard-Floer
homology in this language.
