The main purpose of this paper is to give some invariance property of a homology cobordism invariant of plumbed homology 3-spheres under a kind of blowing up process for auxiliary 4-V-manifolds. By using this property, we prove a homology cobordism invariance of an integral lift of the Rohlin invariant constructed by W. Neumann [6] and L. Siebenmann [12] in the set of all homology 3-spheres bounding plumbed 4-V-manifolds with $b_{2}^{+} + b_{2}^{-} \leq 2$ which are obtained by blowing down of smooth spin 4-manifolds.
Publié le : 2000-05-15
Classification:
57N10,
57M50,
57R15,
57R20,
57R80
@article{1250517719,
author = {Fukumoto, Yoshihiro},
title = {On an invariant of plumbed homology 3-spheres},
journal = {J. Math. Kyoto Univ.},
volume = {40},
number = {4},
year = {2000},
pages = { 379-388},
language = {en},
url = {http://dml.mathdoc.fr/item/1250517719}
}
Fukumoto, Yoshihiro. On an invariant of plumbed homology 3-spheres. J. Math. Kyoto Univ., Tome 40 (2000) no. 4, pp. 379-388. http://gdmltest.u-ga.fr/item/1250517719/