Metaphors in Systolic Geometry

By Larry Guth. 2010

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We discuss the systolic inequality for n-dimensional tori, explaining dierent metaphors that help to organize the proof. The metaphors connect systolic geometry with minimal surface theory, topological dimension theory, and scalar curvature.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/5fe0b2c8f91d54d6f138af5c3bc9536eedb51cda