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Dec 8, 2021 at 23:50 history edited Peter McNamara CC BY-SA 4.0
added the missing $\neq 0$ in the last paragraph.
Dec 7, 2021 at 14:24 comment added David E Speyer @mme Thank you!
Dec 7, 2021 at 14:23 history edited David E Speyer CC BY-SA 4.0
added 4 characters in body
Dec 7, 2021 at 14:22 comment added mme For these signs I always check Warner. The adjoint is defined on p-forms on an n-manifolds as $d^* = (-1)^{n(p+1)+1} *d*$ and one has $** = (-1)^{p(n-p)}$, so $$d^* * = (-1)^{n(n-p+1)+1} (-1)^{p(n-p)} *d = (-1)^{p+1} * d,$$ I think.
Dec 7, 2021 at 14:13 history edited David E Speyer CC BY-SA 4.0
deleted 39 characters in body
Dec 7, 2021 at 14:07 history edited David E Speyer CC BY-SA 4.0
deleted 5 characters in body
Dec 7, 2021 at 14:00 history edited David E Speyer CC BY-SA 4.0
added 47 characters in body
Dec 6, 2021 at 21:17 history edited David E Speyer CC BY-SA 4.0
added 36 characters in body
Dec 6, 2021 at 21:04 comment added wonderich Thanks very much +1. I appreciate this -- also thanks for pointing out any ref.
Dec 6, 2021 at 20:55 history answered David E Speyer CC BY-SA 4.0