1 results
Coisotropic Ekeland–Hofer capacities
- Part of
-
- Journal:
- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 153 / Issue 5 / October 2023
- Published online by Cambridge University Press:
- 05 September 2022, pp. 1564-1608
- Print publication:
- October 2023
-
- Article
-
- You have access
- HTML
- Export citation
-
For subsets in the standard symplectic space $(\mathbb {R}^{2n},\omega _0)$
whose closures are intersecting with coisotropic subspace $\mathbb {R}^{n,k}$
we construct relative versions of the Ekeland–Hofer capacities of the subsets with respect to $\mathbb {R}^{n,k}$
, establish representation formulas for such capacities of bounded convex domains intersecting with $\mathbb {R}^{n,k}$
. We also prove a product formula and a fact that the value of this capacity on a hypersurface $\mathcal {S}$
of restricted contact type containing the origin is equal to the action of a generalized leafwise chord on $\mathcal {S}$
.
