Bounding volume by systoles of 3-manifolds

Mikhail G. Katz; Yuli B. Rudyak

doi:10.1112/jlms/jdm105

Bounding volume by systoles of 3-manifolds

Mikhail G. Katz
, Yuli B. Rudyak

Department of Mathematics

University of Florida

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We prove a new systolic volume lower bound for non-orientable n-manifolds, involving the stable 1-systole as well as the codimension-1 systole with coefficients in 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.

Original language	English
Pages (from-to)	407-417
Number of pages	11
Journal	Journal of the London Mathematical Society
Volume	78
Issue number	2
DOIs	https://doi.org/10.1112/jlms/jdm105
State	Published - Oct 2008

Funding

The first author is supported by the Israel Science Foundation (grants 84/03 and 1294/06) and the BSF (grant 2006393). The second author is supported by NSF (grant 0406311).

Funders	Funder number
National Science Foundation	0406311
United States-Israel Binational Science Foundation	2006393
Israel Science Foundation	1294/06, 84/03

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10.1112/jlms/jdm105

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Bounding volume by systoles of 3-manifolds

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