Bounding volume by systoles of 3-manifolds
Differential Geometry
2014-02-26 v2 Algebraic Topology
Geometric Topology
Metric Geometry
Abstract
We prove a new systolic volume lower bound for non-orientable n-manifolds, involving the stable 1-systole and the codimension 1 systole with coefficients in Z_2. As an application, we prove that Lusternik-Schnirelmann category and systolic category agree for non-orientable closed manifolds of dimension 3, extending our earlier result in the orientable case. Finally, we prove the homotopy invariance of systolic category.
Keywords
Cite
@article{arxiv.math/0504008,
title = {Bounding volume by systoles of 3-manifolds},
author = {Mikhail G. Katz and Yuli B. Rudyak},
journal= {arXiv preprint arXiv:math/0504008},
year = {2014}
}
Comments
16 pages