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• CommentRowNumber1.
• CommentAuthorDavid_Corfield
• CommentTimeJan 12th 2019

Where the page has

The index theorem is supposed to have an interpretation in terms of the quantum field theory of the superparticle on the given space,

is the “is supposed to” necessary? Why not “has an interpretation”? Is it just the general issue of any translation from mathematics to physics?

• CommentRowNumber2.
• CommentAuthorDavid_Corfield
• CommentTimeJan 12th 2019

• Rafe Mazzeo, The Atiyah-Singer Index theorem: what it is and why you should care, (slides)
• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeJan 12th 2019

Right, the “supposed to” need not be there.

• CommentRowNumber4.
• CommentAuthorDavid_Corfield
• CommentTimeJan 12th 2019

Ok, so have changed that.

• CommentRowNumber5.
• CommentAuthorDavid_Corfield
• CommentTimeFeb 16th 2021

• Rafe Mazzeo, The Atiyah-Singer Index theorem: what it is and why you should care, (slides)

Seems rather a slight page.

• CommentRowNumber6.
• CommentAuthorDavid_Corfield
• CommentTimeFeb 16th 2021
• (edited Feb 16th 2021)

Linked to the relevant section at supersymmetric quantum mechanics.

In case anyone’s wondering why the interest, John Baez announced the death of Singer on the $n$Café.

• CommentRowNumber7.
• CommentAuthorDavid_Corfield
• CommentTimeFeb 17th 2021

John Baez mentioned this paper

• Florian Hanisch, Matthias Ludewig, A Rigorous Construction of the Supersymmetric Path Integral Associated to a Compact Spin Manifold, (arXiv:1709.10027)

so I added it, but maybe it needs a word to distinguish it from the two above described as “traditional physics arguments”.

• CommentRowNumber8.
• CommentAuthorDavid_Corfield
• CommentTimeSep 21st 2021