scholarly journals Fredholm theory for pseudoholomorphic curves with brake symmetry

2021 ◽  
Author(s):  
Beijia Zhou ◽  
Chaofeng Zhu
Keyword(s):  
Fredholm Theory ◽  
Pseudoholomorphic Curves

scholarly journals ON A NOTION OF MAPS BETWEEN ORBIFOLDS I: FUNCTION SPACES

2006 ◽  
Vol 08 (05) ◽  
pp. 569-620 ◽  
Author(s):  
WEIMIN CHEN
Keyword(s):  
String Theory ◽  
Topological Structure ◽  
Function Spaces ◽  
General Context ◽  
Pseudoholomorphic Curves ◽  
Comprehensive Theory

This is the first of a series of papers which is 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.

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