Enumerative geometry is a branch of mathematics that focuses on counting the number of geometric objects that satisfy certain conditions. It often involves studying the properties of algebraic varieties, which are sets of solutions to polynomial equations. This field combines techniques from algebraic geometry, combinatorics, and topology to solve problems related to the configuration of shapes and their intersections. One of the key concepts in enumerative geometry is the use of Gromov-Witten invariants, which count the number of curves on a given algebraic variety. These invariants help mathematicians understand the relationships between different geometric structures and provide insights into the underlying algebraic properties of the shapes being studied.