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arXiv · 1404.0666

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

Sergio Tadao Martins·Daciberg Lima Goncalves
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Abstract

We construct finite free resolutions of Z over ZG, where G is the fundamental group of a surface distinct from S^2 and RP^2, 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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Sergio Tadao Martins, Daciberg Lima Goncalves. 2014-04-02. Diagonal approximation and the cohomology ring of the fundamental groups of surfaces. https://arxiv.org/abs/1404.0666

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