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The bounding genera and $ w$-invariants

Author(s): Yoshihiro Fukumoto
Journal: Proc. Amer. Math. Soc. 137 (2009), 1509-1517.
MSC (2000): Primary 57R57, 55N22; Secondary 58J20, 57R80
Posted: November 3, 2008
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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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Additional Information:

Yoshihiro Fukumoto
Affiliation: Department of Environmental and Information Studies, Tottori University of Environmental Studies, 1-1-1 Wakabadai-Kita, Tottori 689-1111, Japan
Email: fukumoto@kankyo-u.ac.jp

DOI: 10.1090/S0002-9939-08-09744-X
PII: S 0002-9939(08)09744-X
Received by editor(s): September 26, 2007,
Received by editor(s) in revised form: May 11, 2008
Posted: November 3, 2008
Additional Notes: Research supported by MEXT Grant-in-Aid for Scientific Research (18740039)
Communicated by: Daniel Ruberman
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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