Open orbifold Gromov-Witten invariants       
-- Renzo Cavalieri, November 19, 2010

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Open GW theory refers to the study of maps from
Riemann surfaces with boundary into a target manifold, where              
the boundary is constrained to map to a fixed Lagrangian
submanifold. The physical theory of open strings gives several           
predictions for virtually enumerative invariants related to
these kind of problems. I will discuss a computational                 
(mathematical) framework to make sense of open GW invariants in
the case of a toric orbifold target, and present some              
results and applications obtained in joint work with Andrea
Brini (Geneva) and Dusty Ross (CSU).