Abstract: In this talk we will show how to fill out the geography for all simply connected minimal symplectic 4-manifolds with odd intersection form where the signature is less than -1, except for 4 examples.  We also show how to fill out all examples with signature \leq 0 for all but 96 examples.  This is joint work with Paul Kirk, Inanc Baykur, D. Park, and A Akhmedov.

 

As you can tell from the description, the results are brand new but very much in line with the theme of the conference and in honor of Ron Stern's birthday (three of the authors are students of Ron and Ron).