Hülya Argüz, Pierrick Bousseau and Mike Usher. Enumerative geometry is a branch of algebraic geometry concerned with counting solutions to geometric problems. Gromov–Witten invariants, counting curves in algebraic varieties, and their sheaf theoretic counterparts, Donaldson–Thomas (DT) invariants, are the most extensively studied invariants in enumerative geometry. One of the directions of major interest in modern enumerative geometry is the search for structures and symmetries underlying solutions to counting problems. These structures underlying enumerative invariants are surprisingly connected, with topology, symplectic geometry and Floer homology.
