Over a decade ago Welschinger defined invariants of real symplectic manifolds of complex dimensions 2 and 3, which count $J$-holomorphic disks with boundary and interior point constraints.
Symplectic Geometry Seminar
The seminar meets each Friday at 2:00 pm, with the venue alternating between Fine Hall 322 at Princeton and Simonyi Hall at the IAS. This seminar also has their own web page. Please click on seminar title for complete abstract.
Hebrew University of Jerusalem
We compare absolute and relative Gromov-Witten invariants with the basic contact vector for very positive divisors. For such divisors, one might expect that these invariants are the same up to a natural multiple.