  We show that the Gromov width of the Grassmannian of complex k-planes in C^n
is equal to one when the symplectic form is normalized so that it generates the
integral cohomology in degree 2. We deduce the lower bound from more general
results. For example, if a compact manifold N with an integral symplectic form
omega admits a Hamiltonian circle action with a fixed point p such that all the
isotropy weights at p are equal to one, then the Gromov width of (N,omega) is
at least one. We use holomorphic techniques to prove the upper bound.

Symplectic Geometry