A Sage package for calculation of elliptic genera of homogeneous spaces and their complete intersections

Abstract

We present a SageMath package for calculating elliptic genera of homogeneous spaces and their complete intersections. This includes the calculation of the basis of weak Jacobi forms, Chern numbers of homogeneous spaces and their complete intersections, and their elliptic genera. In this paper, we show how to use this package with concrete examples. This package is developed for the calculations in arXiv:2306.10650.

arXiv comment17 pages, 3 tables. v2: added citation to arXiv:2306.10650