University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Wise's w-cycle conjecture and homological coherence for one-relator groups

Wise's w-cycle conjecture and homological coherence for one-relator groups

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  • UserLars Louder, UCL
  • ClockWednesday 20 May 2015, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Jake Rasmussen.

A two-complex X has non-positive immersions if, for every immersion Y->X, Y compact, either \chi(Y)<=0 or Y has trivial fundamental group. In this talk I’ll show that presentation complexes for one-relator groups have non-positive immersions, and, as a corollary, that finitely generated subgroups of one-relator groups have finite second betti numbers. This is joint work with Henry Wilton.

This talk is part of the Differential Geometry and Topology Seminar series.

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