Elliptic genera of level ๐ and Jacobi polynomials
Elliptic genera of level ๐ and Jacobi polynomials
In this work, we study Hirzebruchโs level <italic>N</italic> elliptic genera and show that the image of the complex projective spaces under the level 3 genus can be realized very compactly in terms of Jacobi polynomials. To obtain these results we examine a differential equation which the level 3 logarithm satisfies.