Diagonal approximation and the cohomology ring of the fundamental groups of surfaces

2014/04/02 by Martins, Sergio Tadao, Goncalves, Daciberg Lima
#Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1404.0666

Abstract

We construct finite free resolutions of Z over ZG, where G is the fundamental group of a surface distinct from S² and RP², and define diagonal approximations for these resolutions. We then procceed to give some possible applications that come with the knowledge of those maps.

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• Incompressible solvable representations of surface groups
• Surface classification and local and global fundamental groups, I
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