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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeJul 12th 2013

quick note at spin structure on the characterization over Kähler manifolds

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeJul 17th 2013
• (edited Jul 17th 2013)

Added to spin structure a quick section Examples – On the 2-sphere computing the unique spin structure on the 2-sphere explicitly as a square root of the canonical bundle. (Still needs polishing…)

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeSep 30th 2013

have expanded the Definition-section at spin structure a bit more, highlighting the obstructing 2-bundles / bundle gerbes a bit more.

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeJul 16th 2020

for spin structures on orbifolds.

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeJul 16th 2020

and to

• CommentRowNumber6.
• CommentAuthorUrs
• CommentTimeMar 27th 2021

added a brief remark on the spin-structure on $S^n$ (here)

This really comes, ultimately, from the coset space realization $S^n = Spin(n+1)/Spin(n)$.

I was looking for an author who would admit that explicitly. No luck yet, but have to run now.

• CommentRowNumber7.
• CommentAuthorUrs
• CommentTimeMar 27th 2021

made more explicit (here) how the spin-structure on the n-sphere comes from its coset-space realization