Hodge Numbers for All CICY Quotients

TL;DR

This paper introduces a general method to compute Hodge numbers for Calabi-Yau manifolds formed as quotients of complete intersections, using equivariant cohomology, and applies it to classify all quotients in Braun's list.

Contribution

A novel computational approach for Hodge numbers of quotient Calabi-Yau manifolds, covering all cases in Braun's classification.

Findings

Computed Hodge numbers for all quotients in Braun's classification

Developed a method based on equivariant cohomology

Validated the approach with explicit examples

Abstract

We present a general method for computing Hodge numbers for Calabi-Yau manifolds realised as discrete quotients of complete intersections in products of projective spaces. The method relies on the computation of equivariant cohomologies and is illustrated for several explicit examples. In this way, we compute the Hodge numbers for all discrete quotients obtained in Braun's classification arXiv:1003.3235.