Learn More
We discuss corks, and introduce new objects which we call plugs. Though plugs are fundamentally different objects, they also detect exotic smooth structures in 4-manifolds like corks. We discuss(More)
Here we show that every compact smooth 4-manifold X has a structure of a Broken Lefschetz Fibration (BLF in short). Furthermore, if b 2 (X) > 0 then it also has a Broken Lefschetz Pencil structure(More)
Here we study the deformations of associative submanifolds inside a G 2 manifold M 7 with a calibration 3-form ϕ. A choice of 2-plane field Λ on M (which always exits) splits the tangent bundle of M(More)