Systolic volume of homology classes
| Autor: | Ivan Babenko, Florent Balacheff |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2010 |
| Předmět: |
Algebraic properties
Mathematics - Differential Geometry Pure mathematics representability of a homology class Homology (mathematics) 53C23 20J06 Differential Geometry (math.DG) 53C23 20J06 20F99 FOS: Mathematics integer homology of a group Geometry and Topology 20F99 Invariant (mathematics) systolic volume Mathematics |
| Zdroj: | Algebr. Geom. Topol. 15, no. 2 (2015), 733-767 |
| Popis: | Let G be a finitely presentable group and fix a nontrivial homology class a2Hm.G;Z/ of dimension m 1. In order to study topological and algebraic properties of the class a , we consider the various ways this class can be realized by a pseudomanifold endowed with a polyhedral metric. For such realizations, the two main geometrical quantities are the volume of the pseudomanifold and the lengths of loops representing nontrivial elements of G . The systolic volume turns out to be the simplest way to compare these geometric quantities in order to form a topological invariant and is defined as follows. |
| Databáze: | OpenAIRE |
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