Homological invariance for asymptotic invariants and systolic inequalities

2007/02/26 by Michael Brunnbauer, Brunnbauer, Michael · 2 citations
Mathematics · #Geometric and Algebraic Topology #Geometry and complex manifolds #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.math/0702789

Abstract

We show that the systolic constant, the minimal entropy, and the spherical volume of a manifold depend only on the image of the fundamental class under the classifying map of the universal covering. Moreover, we compute the systolic constant of manifolds with fundamental group of order two (modulo the value on the real projective space) and derive an inequality between the minimal entropy and the systolic constant.

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• Minimal volume entropy of mapping tori over 3-manifolds
• On manifolds satisfying stable systolic inequalities

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