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Unpublished Paper
On a Notion of Maps Between Orbifolds I. Function Spaces
  • Weimin Chen Chen, University of Massachusetts - Amherst

This is the first of a series of papers which are devoted to a comprehensive theory of maps between orbifolds. In this paper, we define the maps in the more general context of orbispaces, and establish several basic results concerning the topological structure of the space of such maps. In particular, we show that the space of such maps of Cr class between smooth orbifolds has a natural Banach orbifold structure if the domain of the map is compact, generalizing the corresponding result in the manifold case. Motivations and applications of the theory come from string theory and the theory of pseudoholomorphic curves in symplectic orbifolds

Publication Date
March 29, 2006
Pre-published version downloaded from archive arXiv. The published version is located at
Citation Information
Weimin Chen Chen. "On a Notion of Maps Between Orbifolds I. Function Spaces" (2006)
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