5 citations · 23 across the 9 of their papers we have counts for
9 papers
An overtwisted convex hypersurface in higher dimensions
River Chiang, Klaus Niederkrüger-Eid
We show that the germ of the contact structure surrounding a certain kind of convex hypersurfaces is overtwisted. We then find such hypersurfaces close to any plastikstufe with tor…
Homologically trivial symplectic cyclic actions need not extend to Hamiltonian circle actions
River Chiang, Liat Kessler
We give examples of symplectic actions of a cyclic group, inducing a trivial action on homology, on four-manifolds that admit Hamiltonian circle actions, and show that they do not…
Cyclic actions on rational ruled symplectic four-manifolds
River Chiang, Liat Kessler
Let be a ruled symplectic four-manifold. If is rational, then every homologically trivial symplectic cyclic action on is the restriction of a Hamiltonian c…
Non-fillable invariant contact structures on principal circle bundles and left-handed twists
River Chiang, Fan Ding, Otto van Koert
We define symplectic fractional twists, which generalize Dehn twists, and use these in open books to investigate contact structures. The resulting contact structures are invariant…
Open books for Boothby-Wang bundles, fibered Dehn twists and the mean Euler characteristic
River Chiang, Fan Ding, Otto van Koert
We examine open books with powers of fibered Dehn twists as monodromy. The resulting contact manifolds can be thought of as Boothby-Wang orbibundles over symplectic orbifolds. Usin…
Convexity package for momentum maps on contact manifolds
River Chiang, Yael Karshon
Let a torus T act effectively on a compact connected cooriented contact manifold, and let Psi be the natural momentum map on the symplectization. We prove that, if dim T > 2, the u…