Published October 2011 | public
Journal Article

Geography of Spin Symplectic Four-Manifolds With Abelian Fundamental Group

Torres, Rafael
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Abstract

We study the geography and botany of symplectic spin four-manifolds with abelian fundamental group. By building on the constructions of J. Park and of B. D. Park and Szabó, we can give alternative proofs and extend several results on the geography of simply connected four-manifolds to the nonsimply connected realm.

Additional Information

© 2011 Australian Mathematical Publishing Association Inc. Received 8 May 2010; accepted 18 March 2011. Communicated by M. K. Murray. The author warmly thanks Refik Inanç Baykur for suggesting the problem.

Additional details

Created:
August 22, 2023
Modified:
October 24, 2023