Gromov-Witten Invariants

Gromov-Witten invariants are mathematical tools used in algebraic geometry and symplectic topology to count the number of curves of a certain type within a geometric space, such as a complex manifold. They encode information about how these curves can be mapped into the space while satisfying specific conditions, like passing through certain points or having particular shapes. These invariants are fundamental in understanding the geometry and topology of these spaces, often providing insights into their structure and properties. Essentially, they are sophisticated counting mechanisms that help mathematicians explore the rich landscape of geometric shapes.