Homotopy open/closed topological field theory -- Ezra Getzler

Moduli spaces of Riemann surfaces with boundary introduced by C. C. Liu and Fukaya et al. give rise to explicit homotopy formulas in open/closed topological field theory (analogous to Massey products in rational homotopy theory). We give some examples, and show how these moduli spaces allow one to understand recent explicit calculations in the B-model.