Fukumoto-Furuta invariants of plumbed homology 3-spheres

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Abstract

Recent major progress in the study of the homology cobordism group of homology 3-spheres is related to the work of Fukumoto, Furuta, and Ue on their w-invariant. We identify the w-invariant with the μ̄-invariant of Neumann and Siebenmann for all plumbed homology spheres. This leads to proving that all Seifert fibered and some classes of plumbed homology spheres with nontrivial Rohlin invariant have infinite order in the homology cobordism group.

Original languageEnglish (US)
Pages (from-to)465-490
Number of pages26
JournalPacific Journal of Mathematics
Volume205
Issue number2
DOIs
StatePublished - Aug 2002

ASJC Scopus subject areas

  • Mathematics(all)

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