Abstract |
In an earlier paper, [9], we showed that
the moduli space of deformations of a smooth, compact, orientable
special Lagrangian submanifold L in a symplectic manifold X
with a non-integrable almost complex structure is a smooth
manifold of dimension H1(L), the space of harmonic 1-forms on
L. We proved this first by showing that the linearized operator
for the deformation map is surjective and then applying the Banach
space implicit function theorem. In this paper, we obtain the same
surjectivity result by using a different method, the Fredholm
Alternative, which is a powerful tool for compact operators in
linear functional analysis.
|