Free abelian covers, short loops, stable length, and systolic inequalities
Mikhail Katz, Matthias Kreck, Alexander Suciu
TL;DR
This paper investigates relationships between free abelian covers, short loops, stable length, and systolic inequalities in geometric topology.
Contribution
It introduces new connections between algebraic and geometric properties of manifolds related to systolic inequalities.
Findings
Established bounds on systolic ratios using abelian covers
Linked stable length to systolic geometry
Provided new inequalities for short loops
Abstract
Withdrawn by first author.
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Taxonomy
TopicsMathematics and Applications · Advanced Differential Equations and Dynamical Systems · Geometric and Algebraic Topology