Enumeration of real rational curves
Enumeration of real rational curves

Penka Georgieva, Princeton University
Fine Hall 322
The classical problem of enumerating rational curves in projective spaces is solved using a recursion formula for GromovWitten invariants. In this talk, I will describe a similar relation for real GromovWitten invariants with conjugate pairs of constraints. An application of this relation provides a complete recursion for counts of real rational curves with such constraints in odddimensional projective spaces. I will outline the proof and discuss some vanishing and nonvanishing results. This is joint work with A. Zinger.