6 citations · 14 across the 3 of their papers we have counts for
7 papers · 1 filter
Associative submanifolds of a G2 manifold
Selman Akbulut, Sema Salur
We study deformations of associative submanifolds of a manifold . We show that the deformation space can be perturbed to be smooth, and it can be made c…
An involution acting nontrivially on Heegard-Floer homology
Selman Akbulut, Selahi Durusoy
We show that a certain involution on the well known homology sphere (the boundary of the Mazur manifold) induces a nontrivial homomorphism on its Heegard-Floer homology groups (rec…
Variations on Fintushel-Stern Knot Surgery on 4-manifolds
Selman Akbulut
We discuss some consequences Fintushel-Stern `knot surgery' operation on 4-manifolds coming from its handlebody description. We give some generalizations of this operation and give…
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…
A fake cusp and a fishtail
Selman Akbulut
We construct smooth 4-manifolds that are homeomorphic but not diffeomorphic to the "cusp" and the "fishtail", which are certain thickened singular 2-spheres.