# Atiyah–Hitchin–Singer theorem

> the theorem that the space of SU(2) anti self dual Yang–Mills fields on a 4-sphere with index k > 0 has dimension 8k – 3

**Wikidata**: [Q4815876](https://www.wikidata.org/wiki/Q4815876)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Atiyah–Hitchin–Singer_theorem)  
**Source**: https://4ort.xyz/entity/atiyah-hitchin-singer-theorem