Lie Groupoids and their OrbispacesReport as inadecuate

 Lie Groupoids and their Orbispaces

Lie Groupoids and their Orbispaces - Download this document for free, or read online. Document in PDF available to download.

Download or read this book online for free in PDF: Lie Groupoids and their Orbispaces
This is a concise introduction to the theory of Lie groupoids, with emphasis in their role as models for orbispaces. After some preliminaries, we review the foundations on Lie groupoids, and we carefully study equivalences and proper groupoids. Orbispaces are geometric objects which have manifolds and orbifolds as special instances, and can be presented as the transverse geometry of a Lie groupoid. Two Lie groupoids are equivalent if they are presenting the same orbispace, and proper groupoids are presentations of separated orbispaces, which by the linearization theorem are locally modeled by linear actions of compact groups. We discuss all these notions in detail. Our treatment diverges from the expositions already in the literature, looking for a complementary insight over this rich theory that is still in development.

Author: Matias L. del Hoyo


Related documents