FREE-PRODUCTS AND 4-DIMENSIONAL CONNECTED-SUMS

Authors
Citation
Ja. Hillman, FREE-PRODUCTS AND 4-DIMENSIONAL CONNECTED-SUMS, Bulletin of the London Mathematical Society, 27, 1995, pp. 387-391
Citations number
17
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
00246093
Volume
27
Year of publication
1995
Part
4
Pages
387 - 391
Database
ISI
SICI code
0024-6093(1995)27:<387:FA4C>2.0.ZU;2-U
Abstract
We show that a dosed 4-manifold whose fundamental group is a nontrivia l free product is stably homeomorphic to one which admits a correspond ing decomposition into a connected sum, and that connected sums of cop ies of S-1 x S-3 and S-1 ($) over tilde x S-3 may be characterized up to s-cobordism by their fundamental group, Euler characteristic and or ientability. These results are applied to obtain weak splitting and tr iviality theorems for links in S-4.