• Corpus ID: 118275995

Inertia groups of a toric DM stack, fake weighted projective spaces, and labelled sheared simplices

  title={Inertia groups of a toric DM stack, fake weighted projective spaces, and labelled sheared simplices},
  author={Rebecca F. Goldin and Megumi Harada and David A. Johannsen and Derek Krepski},
  journal={arXiv: Symplectic Geometry},
This paper determines the inertia groups (isotropy groups) of the points of a toric Deligne-Mumford stack [Z/G] (considered over the category of smooth manifolds) that is realized from a quotient construction using a stacky fan or stacky polytope. The computation provides an explicit correspondence between certain geometric and combinatorial data. In particular, we obtain a computation of the connected component of the identity element $G_0 \subset G$ and the component group $G/G_0$ in terms of… 

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