example 0.0.1
We look at the example ofdefinition 0.0.4
A pointed Heegaard diagram- Gromov-Compactness: Observe that this is defined over
coefficients. In general, when we look at the strips connecting two points , we are only guaranteed compactness of the moduli space of pseudoholomorphic strips which have bounded energy. To get around this problem --- when strips from to have possibly unbounded energy --- we would employ Novikov coefficients in Lagrangian intersection Floer cohomology. Here, we do not use such a coefficient ring. - If we treat
as a symplectic manifold, the Lagrangian submanifolds are not tautologically unobstructed (i.e. ). We therefore must rule out disk and sphere bubbling to show that the differential squares to zero.
lemma 0.0.5
Suppose thatlemma 0.0.6
Suppose thatReferences
[Per08] | Timothy Perutz. Hamiltonian handleslides for Heegaard Floer homology, 2008. |