
02/03 4:00pm 
Zoom 
Mohammad Farajzadeh Tehrani University of Iowa 
Relative SeibergWitten invariants and a Sum Formula
I will introduce relative SeibergWitten (or SW) moduli spaces for an arbitrary pair (X,S) of a closed oriented 4manifold X and a closed oriented 2dimensional submanifold S in X with positive genus. Using these moduli spaces, we obtain an SW sum formula (aka a product formula) that relates the SW invariants of a sum X of two closed oriented 4manifolds X1 and X2 along a common oriented surface S with dual selfintersections to the relative SW invariants of (X1,S) and (X2,S).
This formula generalizes MorganSzaboTaubes' product formula. This is joint work with Pedram Safari. 