I am going to tell you about our recent construction of small symplectic 4-manifolds with signature zero, which include the smallest closed simply-connected exotic 4-manifolds with signature zero known to date. Our novel examples are derived from explicit Lefschetz fibrations, with spin and non-spin monodromies. Joint work with N. Hamada.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/TopologySeminar