# Start a new discussion

## Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

## Site Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeApr 21st 2019

Discussion of Euler forms (differential form-representatives of Euler classes in de Rham cohomology) as Pfaffians of curvature forms:

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeMar 16th 2020

added the actual statement that $Pf^2 = det$ (here) and a pointer to explicit proofs in

• Howard E. Haber, Notes on antisymmetric matrices and the pfaffian, 2015 (pdf)

I gather a proof is also spelled out somewhere in Spivak’s Comprehensive Introduction to Differential Geometry but I haven’t tracked down the section/page number yet.