Z_2-systolic-freedom

TL;DR

This paper presents the first example of systolic freedom over torsion coefficients, revealing a more subtle phenomenon than previously understood over integers, and challenging existing conjectures.

Contribution

It introduces the first known case of systolic freedom over torsion coefficients, expanding the understanding of systolic geometry.

Findings

Systolic freedom over torsion coefficients exists.

The phenomenon is more delicate than over integers.

Contradicts a conjecture of Gromov.

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.