The bounding genera and 𝑤-invariants

Fukumoto, Yoshihiro

doi:10.1090/S0002-9939-08-09744-X

The bounding genera and $w$-invariants
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Proc. Amer. Math. Soc. 137 (2009), 1509-1517 Request permission

Abstract:

In this paper, we give an estimate from below of the bounding genera for homology $3$-spheres defined by Y. Matsumoto in terms of $w$-invariants. In particular, combining with Matsumoto’s estimates we determine the values of the bounding genera for several infinite families of Brieskorn homology $3$-spheres.

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