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