Authors
Citation
D. Ruberman, INVOLUTIONS ON SPIN 4-MANIFOLDS, Proceedings of the American Mathematical Society, 123(2), 1995, pp. 593-596
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00029939
Volume
123
Issue
2
Year of publication
1995
Pages
593 - 596
Database
ISI
SICI code
0002-9939(1995)123:2<593:IOS4>2.0.ZU;2-0
Abstract
We show that a simply-connected spin 4-manifold which admits a locally
linear involution must have vanishing signature. We also show that th
e codimensions of all components of the fixed point set of an involuti
on on a spin 4-manifold are the same module 4. There is no assumption
of local linearity in this result, which extends a lemma of Atiyah and
Bott.