The Gromov width of complex Grassmannians

By Yael Karshon, S. Tolman. 2004

61 citations recorded by the source corpus.

We show that the Gromov width of the Grassmannian of com- plex 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 ω 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, ω) is at least one. We use holomorphic techniques to prove the upper bound. AMS Classification 53D20; 53D45

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ebabd97fe00e8dbbb045e6a5aeead96eaf9dde54

Citations in the corpus

• Integrable systems, toric degenerations and Okounkov bodies (2012, unknown): “[23]) for a large class of examples.”