Abstract
Building upon our previous joint work with A. Joshi and M. Poddar, we continue our study of abelian covers of rational surfaces which are branched over line arrangements. We use these covers as building blocks to construct new infinite families of closed simply connected nonspin irreducible symplectic 4-manifolds with positive signature.
Acknowledgements
The first author thanks David McKinnon for a helpful discussion. The second author was partially supported by a Research Incentive Fund from the University of Waterloo.
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References
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© 2024 Walter de Gruyter GmbH, Berlin/Boston, Germany
Artikel in diesem Heft
- Frontmatter
- Automorphisms and opposition in spherical buildings of classical type
- Revisiting gradient conformal solitons
- Abelian branched covers of rational surfaces, II
- Annulus configurations in handlebody-knot exteriors
- Cones between the cones of positive semidefinite forms and sums of squares
- The geometry of rank drop in a class of face-splitting matrix products: Part I
- The geometry of rank drop in a class of face-splitting matrix products: Part II
- Triality and automorphisms of principal bundles moduli spaces
Artikel in diesem Heft
- Frontmatter
- Automorphisms and opposition in spherical buildings of classical type
- Revisiting gradient conformal solitons
- Abelian branched covers of rational surfaces, II
- Annulus configurations in handlebody-knot exteriors
- Cones between the cones of positive semidefinite forms and sums of squares
- The geometry of rank drop in a class of face-splitting matrix products: Part I
- The geometry of rank drop in a class of face-splitting matrix products: Part II
- Triality and automorphisms of principal bundles moduli spaces