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arXiv:math/0504008 [math.DG]AbstractReferencesReviewsResources

Bounding volume by systoles of 3-manifolds

Mikhail G. Katz, Yuli B. Rudyak

Published 2005-04-01, updated 2007-06-12Version 2

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.

Comments: 16 pages
Categories: math.DG, math.AT, math.GT, math.MG
Subjects: 53C23, 55M30, 57N65
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