BAUER-FURUTA INVARIANTS AND GALOIS SYMMETRIES
نویسندگان
چکیده
منابع مشابه
Bauer-Furuta invariants and Galois symmetries
The Bauer-Furuta invariants of smooth 4-manifolds are investigated from a functorial point of view. This leads to a definition of equivariant BauerFuruta invariants for compact Lie group actions. These are studied in Galois covering situations. We show that the ordinary invariants of all quotients are determined by the equivariant invariants of the covering manifold. In the case where the Bauer...
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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 Z2-actions. As an application, we give a constraint on smooth Z2-actions on homotopy K3#K3, and construct a nonsmoothable locally linear Z2-action on K3#K3. We also construct a nonsmoothable locally lin...
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mathematics
سال: 2011
ISSN: 0033-5606,1464-3847
DOI: 10.1093/qmath/har021