9 citations · 51 across the 17 of their papers we have counts for
18 papers
Strong closing lemmas in Hamiltonian dynamics
Kei Irie
This survey focuses on strong closing lemmas in Hamiltonian dynamics that are proved using spectral invariants (also known as action selectors) in symplectic geometry. We review st…
A conjectural chain model for positive -equivariant symplectic homology of star-shaped toric domains in
Kei Irie
For any star-shaped toric domain in , we define a filtered chain complex which conjecturally computes positive -equivariant symplectic homology of the domain. As…
Strong closing property of contact forms and action selecting functors
Kei Irie
We introduce a notion of strong closing property of contact forms, inspired by the closing lemma for Reeb flows in dimension three. We then prove a sufficient criterion…
Symplectic homology of fiberwise convex sets and homology of loop spaces
Kei Irie
For any nonempty, compact and fiberwise convex set in , we prove an isomorphism between symplectic homology of and a certain relative homology of loop spac…
Equidistributed periodic orbits of -generic three-dimensional Reeb flows
Kei Irie
We prove that, for a -generic contact form adapted to a given contact distribution on a closed three-manifold, there exists a sequence of periodic Reeb orbits which i…
Chain level loop bracket and pseudo-holomorphic disks
Kei Irie
Let be a Lagrangian submanifold in a symplectic vector space which is closed, oriented and spin. Using virtual fundamental chains of moduli spaces of nonconstant pseudo-holomor…