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Timeline for Gluing of orbifolds

Current License: CC BY-SA 4.0

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Jul 22, 2023 at 18:02 history bumped CommunityBot This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
Mar 24, 2023 at 17:04 history bumped CommunityBot This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
Nov 24, 2022 at 16:05 history bumped CommunityBot This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
Jul 27, 2022 at 16:04 history bumped CommunityBot This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
Jun 27, 2022 at 15:41 answer added Nick L timeline score: 3
Jun 27, 2022 at 1:11 comment added Hao Yu @NickL can you provide more specific construction ? what is the finite group acting on open set of $R^n$ of the glued chart?
Jun 26, 2022 at 19:17 comment added Nick L @Zerox. I think that this issue is covered by the fact the orbifold boundaries are isomorphic. This means there is an equivariant homeomorphism of orbifold charts locally along the boundary, which are in turn compatible with the charts of each manifold with boundary. It is true the isotropy group may be a subgroup of isotropy group of the associated chart of the manifold with boundary, but that doesn't seem to create a problem.
Jun 26, 2022 at 17:42 comment added Zerox @NickL I think the OP was asking how to prove that the gluing of $2$ boundary orbifold points yields an interior orbifold point. In the manifold case, $2$ half Euclidean spaces are naturally glued to become a whole Euclidean spaces, but in the orbifold case we have to consider the change of group action.
Jun 26, 2022 at 17:14 history edited Sam Nead CC BY-SA 4.0
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Jun 26, 2022 at 13:53 comment added Nick L It seems there is a clear strategy to prove this. Namely try to equivariantly glue two orbifold charts with boundary around every boundary point to give standard orbifold charts around each point. Does anything go wrong with that?
Jun 26, 2022 at 12:46 history asked Hao Yu CC BY-SA 4.0