We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Bauer–Furuta invariants under <img src="/fulltext-image.asp?format=htmlnonpaginated&src=H01451454NV6TK55_html\209_2008_370_Article_IEq1.gif" border="0" alt="$${\mathbb{Z}_2}$$" /> -actions.
- Authors
Nobuhiro Nakamura
- Abstract
Abstract S. Bauer and M. Furuta defined a stable cohomotopy refinement of the Seiberg–Witten invariants. In this paper, we prove a vanishing theorem of Bauer–Furuta invariants for 4-manifolds with smooth $${\mathbb{Z}_2}$$ -actions. As an application, we give a constraint on smooth $${\mathbb{Z}_2}$$ -actions on homotopy K3#K3, and construct a nonsmoothable locally linear $${\mathbb{Z}_2}$$ -action on K3#K3. We also construct a nonsmoothable locally linear $${\mathbb{Z}_2}$$ -action on K3.
- Subjects
FURUTA, M.; BAUER &; Co.; COPYING; DOCUMENTATION; LETTER services
- Publication
Mathematische Zeitschrift, 2009, Vol 262, Issue 1, p219
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-008-0370-1