The decategorification of bordered Heegaard Floer homology
The decategorification of bordered Heegaard Floer homology
Bordered Heegaard Floer homology is an invariant for 3-manifolds, which associates to a surface F an algebra A(Z), and to a 3-manifold Y with boundary, together with an orientation-preserving diffeomorphism φ : F → ∂Y , a module over A(Z).We study the Grothendieck group of modules over A(Z), and define …