# Why is the Dirac operator so important - in both physics and mathematics?

Why is the Dirac operator considered so important - in both physics and (pure) mathematics?

• define important - what would you say is the importance of the Dirac operator in pure mathematics? – lurscher Nov 14 '11 at 12:32
• Let's be fair: it was invented within physics, for physicists, by a physicist. It may have ancillary relevance to maths, but not huge. @lurscher is also right; what's "important" here? – Noldorin Nov 14 '11 at 22:07