2 citations · 4 across the 4 of their papers we have counts for
5 papers
How large is the shadow of a symplectic ball?
Alberto Abbondandolo, Rostislav Matveyev
Consider the image of a 2n-dimensional unit ball by an open symplectic embedding into the standard symplectic vector space of dimension 2n. Its 2k-dimensional shadow is its orthogo…
Exotic structures and adjunction inequality
Selman Akbulut, Rostislav Matveyev
We reprove and strengthen some old difficult theorems of 4-manifolds by the aid of recently discovered modern tools, which involve contact structures on 3-manifolds, compact Stein…
A Convex decomposition theorem for four-manifolds
Selman Akbulut, Rostislav Matveyev
We show that every smooth closed oriented four-manifold admits a decomposition into two co- dimension zero submanifolds with common boundary. Each of these submanifolds carries a s…
Symplectic Lefschetz fibrations on S^1 x M^3
Weimin Chen, Rostislav Matveyev
In this paper we classify symplectic Lefschetz fibrations (with empty base locus) on a four-manifold which is the product of a three-manifold with a circle. This result provides fu…
A Decomposition of Smooth Simply-connected h-Cobordant 4-Manifolds
R. Matveyev
We prove that any two smooth h-cobordant simply-connected 4-manifolds can be obtained by taking two manifolds with boundary, one of which is contractible, and gluing them along the…