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2012 Cobordism of exact links
Vincent Blanlœil, Osamu Saeki
Algebr. Geom. Topol. 12(3): 1443-1455 (2012). DOI: 10.2140/agt.2012.12.1443

Abstract

A (2n1)–dimensional (n2)–connected closed oriented manifold smoothly embedded in the sphere S2n+1 is called a (2n1)–link. We introduce the notion of exact links, which admit Seifert surfaces with good homological conditions. We prove that for n3, two exact (2n1)–links are cobordant if they have such Seifert surfaces with algebraically cobordant Seifert forms. In particular, two fibered (2n1)–links are cobordant if and only if their Seifert forms with respect to their fibers are algebraically cobordant. With this broad class of exact links, we thus clarify the results of Blanlœil [Ann. Fac. Sci. Toulouse Math. 7 (1998) 185–205] concerning cobordisms of odd dimensional nonspherical links.

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Vincent Blanlœil. Osamu Saeki. "Cobordism of exact links." Algebr. Geom. Topol. 12 (3) 1443 - 1455, 2012. https://doi.org/10.2140/agt.2012.12.1443

Information

Received: 17 November 2011; Revised: 16 March 2012; Accepted: 23 March 2012; Published: 2012
First available in Project Euclid: 19 December 2017

zbMATH: 1250.57038
MathSciNet: MR2966692
Digital Object Identifier: 10.2140/agt.2012.12.1443

Subjects:
Primary: 57Q45
Secondary: 57Q60, 57R40, 57R65

Rights: Copyright © 2012 Mathematical Sciences Publishers

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