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We formulate Virasoro constraints for the generating functions of the intersection numbers on Hassett's moduli of weighted pointed curves and show that they are governed by the KdV integrable hierarchy. [ABSTRACT FROM AUTHOR]

The article discusses the compactification of space in the formula for Euler characteristics of tautological line bundles. It states that the compactified space is named Deligne-Mumford moduli space. It presents the formula that generates the dimensions of the spaces of holomorphic sections of the line bundles. It notes that the estimation of using the generating function was proposed by A. Givental and prompted by the point localization technique in the equivariant cohomology theory.