Distribution of the systolic volume of ...
Document type :
Compte-rendu et recension critique d'ouvrage
DOI :
Title :
Distribution of the systolic volume of homology classes
Author(s) :
Babenko, Ivan [Auteur]
Institut de Mathématiques et de Modélisation de Montpellier [I3M]
Balacheff, Florent [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Institut de Mathématiques et de Modélisation de Montpellier [I3M]
Balacheff, Florent [Auteur]
![refId](/themes/Mirage2//images/idref.png)
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Journal title :
Algebraic and Geometric Topology
Pages :
733-767
Publisher :
Mathematical Sciences Publishers
Publication date :
2015
ISSN :
1472-2747
English keyword(s) :
nilmanifold
torsion
multiple of a class
homology of a group with integer coefficients
Heisenberg group
representability of a homology class
Systolic volume
torsion
multiple of a class
homology of a group with integer coefficients
Heisenberg group
representability of a homology class
Systolic volume
HAL domain(s) :
Mathématiques [math]/Géométrie différentielle [math.DG]
English abstract : [en]
Given a pair (G,a) where G is a finitely presentable group and a is an integer homology class of this group, Gromov defined in his article "Filling Riemannian manifolds" a new numerical invariant associated to this pair ...
Show more >Given a pair (G,a) where G is a finitely presentable group and a is an integer homology class of this group, Gromov defined in his article "Filling Riemannian manifolds" a new numerical invariant associated to this pair called systolic volume. Our goal is to propose a systematic study of systolic volume as a function of the two variables G and a. In particular we focus on the distribution of the values of the systolic volume on the real line.Show less >
Show more >Given a pair (G,a) where G is a finitely presentable group and a is an integer homology class of this group, Gromov defined in his article "Filling Riemannian manifolds" a new numerical invariant associated to this pair called systolic volume. Our goal is to propose a systematic study of systolic volume as a function of the two variables G and a. In particular we focus on the distribution of the values of the systolic volume on the real line.Show less >
Language :
Anglais
Popular science :
Non
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