[en] No power law systolic freedom is possible for the product of mod 2 systoles of dimension 1 and codimension 1. This means that any closed n-dimensional Riemannian manifold M of bounded local geometry obeys the following systolic inequality: the product of its mod 2 systoles of dimensions 1 and n-1 is bounded from above by c(n,\epsilon) Vol(M)^{1+\epsilon}, if finite (if H_1(M; Z/2) is non-trivial).
Disciplines :
Mathematics
Author, co-author :
Alpert, Hannah ; Auburn University, Auburn, USA
BALITSKIY, Alexey ; University of Luxembourg ; Institute for Advanced Study, Princeton, USA
Guth, Larry; Massachusetts Institute of Technology, Cambridge, USA
External co-authors :
yes
Language :
English
Title :
Systolic almost-rigidity modulo 2
Publication date :
25 June 2024
Journal title :
Journal of the European Mathematical Society
ISSN :
1435-9855
eISSN :
1435-9863
Publisher :
European Mathematical Society - EMS - Publishing House GmbH
