Typo(?) for Jacobian of o-minus in the cheat sheet

[blue-ringed-octopus]

the jacobian shows
$J^{\mathcal{\gamma}\ominus\mathcal{\chi}}_{\tau} = J_r^{-1}(\tau)$

is it supposed to mean
$J^{\mathcal{\gamma}\ominus\mathcal{\chi}}_{\mathcal{\gamma}} = J_r^{-1}(\tau)$ ?

I assume
$\tau = \mathcal{\gamma} \ominus \mathcal{\chi}$

[joansola]

directly from the paper.

Where did you find the formula that you posted?

[blue-ringed-octopus]

thank you for the reply, i found it on here
https://github.com/artivis/manif/blob/devel/paper/Lie_theory_cheat_sheet.pdf

the right jacobian of right- $\ominus $

[joansola]

Nice catch! We'll fix it, thank you!

[joansola]

@artivis would you take care of this fix? I am not sure if I have access to the latex sources

[joansola]

@artivis I did change the latex sources in overleaf. However the version there and the one on github are quite different. So I did not push the changes here. I let you do it.

FYI: In the sources, I re-defined \bfMx and \bfMy to produce \mathcal{X} and \mathcal{Y} respectively, as in the paper.

[artivis]

Thanks for the ping.

I'll update the pdf asap 👍.