Curvature, Connected Sums, and SeibergWitten Theory
Abstract
We consider several differentialtopological invariants of compact 4manifolds which directly arise from Riemannian variational problems. Using recent results of Bauer and Furuta, we compute these invariants in many cases that were previously intractable. In particular, we are now able to calculate the Yamabe invariant for certain connected sums of complex surfaces.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 November 2001
 DOI:
 10.48550/arXiv.math/0111228
 arXiv:
 arXiv:math/0111228
 Bibcode:
 2001math.....11228I
 Keywords:

 Mathematics  Differential Geometry;
 Mathematics  Geometric Topology;
 53C23;
 57R57
 EPrint:
 29 pages, LaTeX2e. Final version, to appear in Communications in Analysis and Geometry. Additions include expanded discussion of foundational material concerning the BauerFuruta invariant and monopole classes