Timeline for Morita equivalence of Lie groupoids

6 events

when toggle format	what		by	license	comment
Dec 11, 2022 at 19:56	comment	added	Žan Grad		Oh, I think I see why: $\mathcal F\|_{\mathrm{Hom}(h,k)}$ maps $\mathrm{Hom}(h,k)$ diffeomorphically onto $\mathcal H\times_{\mathcal G_0\times \mathcal G_0} \{(h,k)\}$ and the latter is identified with $\mathrm{Hom}(\phi(h),\phi(k))$.
Dec 11, 2022 at 19:47	comment	added	Žan Grad		@AdittyaChaudhuri Could you please elaborate on why $\mathrm{pr}_1\circ\mathcal F\|_{\mathrm{Hom}(h,k)}$ should be a diffeomorphism?
Feb 17, 2022 at 15:03	comment	added	Adittya Chaudhuri		@LSpice Yh it's fine.
Jan 28, 2022 at 21:43	comment	added	LSpice		I did a spot of proofreading, and, while I was editing, noticed that all $\phi$s were `\mathcal`d. Since this makes no difference (see $\phi$ `\phi` vs. $\mathcal{\phi}$ `\mathcal{\phi}`), I removed it, hopefully doing no harm to your intention.
Jan 28, 2022 at 21:42	history	edited	LSpice	CC BY-SA 4.0	Proofreading and TeX (`\mathcal\phi`?) while the question is bumped to the front page
Aug 1, 2021 at 17:56	history	answered	Adittya Chaudhuri	CC BY-SA 4.0