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Asphericity of moduli spaces via curvature Daniel Allcock*
 

Summary: 
Asphericity of moduli spaces via curvature


Daniel Allcock*

26 March 2001



Abstract.

We show that under suitable conditions a branched cover satisfies the same up*
*per curvature bounds

as its base space. First we do this when the base space is a metric space sat*
*isfying Alexandrov's

curvature condition CAT(~) and the branch locus is complete and convex. Then *
*we treat branched

  

Source: Allcock, Daniel - Department of Mathematics, University of Texas at Austin

 

Collections: Mathematics