Volume 15, issue 2 (2015)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25
Issue 7, 3789–4436
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Systolic volume of homology classes

Ivan Babenko and Florent Balacheff

Algebraic & Geometric Topology 15 (2015) 733–767
Bibliography
1 N A Baas, On bordism theory of manifolds with singularities, Math. Scand. 33 (1973) 279 MR0346824
2 I K Babenko, Asymptotic invariants of smooth manifolds, Izv. Ross. Akad. Nauk Ser. Mat. 56 (1992) 707 MR1208148
3 I K Babenko, Topologie des systoles unidimensionnelles, Enseign. Math. 52 (2006) 109 MR2255530
4 I Babenko, Addenda à l'article intitulé “Topologie des systoles unidimensionnelles”, Enseign. Math. 54 (2008) 397 MR2478093
5 I Babenko, F Balacheff, Géométrie systolique des sommes connexes et des revêtements cycliques, Math. Ann. 333 (2005) 157 MR2169832
6 I Babenko, F Balacheff, G Bulteau, Systolic geometry and simplicial complexity of groups, arXiv:1501.01173
7 R Balasubramanian, J M Deshouillers, F Dress, Problème de Waring pour les bicarrés, I: Schéma de la solution, C. R. Acad. Sci. Paris Sér. I Math. 303 (1986) 85 MR853592
8 R Balasubramanian, J M Deshouillers, F Dress, Problème de Waring pour les bicarrés, II: Résultats auxiliaires pour le théorème asymptotique, C. R. Acad. Sci. Paris Sér. I Math. 303 (1986) 161 MR854724
9 H Bass, The degree of polynomial growth of finitely generated nilpotent groups, Proc. London Math. Soc. 25 (1972) 603 MR0379672
10 M Brunnbauer, Homological invariance for asymptotic invariants and systolic inequalities, Geom. Funct. Anal. 18 (2008) 1087 MR2465685
11 P Buser, P Sarnak, On the period matrix of a Riemann surface of large genus, Invent. Math. 117 (1994) 27 MR1269424
12 J Cerf, Topologie de certains espaces de plongements, Bull. Soc. Math. France 89 (1961) 227 MR0140120
13 W J Ellison, Waring's problem, Amer. Math. Monthly 78 (1971) 10 MR0414510
14 D B A Epstein, The degree of a map, Proc. London Math. Soc. 16 (1966) 369 MR0192475
15 P Erdös, H Sachs, Reguläre Graphen gegebener Taillenweite mit minimaler Knotenzahl, Wiss. Z. Martin-Luther-Univ. Halle-Wittenberg Math.-Natur. Reihe 12 (1963) 251 MR0165515
16 M Gromov, Volume and bounded cohomology, Inst. Hautes Études Sci. Publ. Math. (1982) 5 MR686042
17 M Gromov, Filling Riemannian manifolds, J. Differential Geom. 18 (1983) 1 MR697984
18 M Gromov, Systoles and intersystolic inequalities, from: "Actes de la Table Ronde de Géométrie Différentielle" (editor A L Besse), Sémin. Congr. 1, Soc. Math. France (1996) 291 MR1427763
19 F Hirzebruch, Komplexe Mannigfaltigkeiten, from: "Proc. Internat. Congress Math. 1958", Cambridge Univ. Press (1960) 119 MR0123733
20 A I Mal’cev, On a class of homogeneous spaces, Izvestiya Akad. Nauk. SSSR. Ser. Mat. 13 (1949) 9 MR0028842
21 J Milnor, On the cobordism ring $\Omega ^{\ast} $ and a complex analogue, I, Amer. J. Math. 82 (1960) 505 MR0119209
22 S P Novikov, Homotopy properties of Thom complexes, Mat. Sb. 57 (99) (1962) 407 MR0157381
23 Y B Rudyak, S Sabourau, Systolic invariants of groups and $2$–complexes via Grushko decomposition, Ann. Inst. Fourier (Grenoble) 58 (2008) 777 MR2427510
24 S Sabourau, Systolic volume and minimal entropy of aspherical manifolds, J. Differential Geom. 74 (2006) 155 MR2260931
25 S Sabourau, Systolic volume of hyperbolic manifolds and connected sums of manifolds, Geom. Dedicata 127 (2007) 7 MR2338511
26 R E Stong, Notes on cobordism theory, Princeton Univ. Press (1968) MR0248858
27 R Thom, Quelques propriétés globales des variétés différentiables, Comment. Math. Helv. 28 (1954) 17 MR0061823
28 J A Wolf, Growth of finitely generated solvable groups and curvature of Riemanniann manifolds, J. Differential Geometry 2 (1968) 421 MR0248688