Z₂-systolic-freedom

1999/11/17 by Michael H. Freedman
Mathematics · Physics and Astronomy · #math.GT #quant-ph #msc:53C22

paper · pdf

published as Geom. Topol. Monogr. 2 (1999), 113-123 · 11 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper6.abs.html

arxiv created 1999/11/17 · arxiv updated 2009/11/30

Abstract

We give the first example of systolic freedom over torsion coefficients. The phenomenon is a bit unexpected (contrary to a conjecture of Gromov's) and more delicate than systolic freedom over the integers.

Related

• Systolic almost-rigidity modulo 2
• Systolic freedom of orientable manifolds
• Systolic freedom of loop space
• Systolic invariants of groups and 2-complexes via Grushko decomposition
• Helly's theorem for systolic complexes