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GEOGRAPHY OF SPIN SYMPLECTIC FOUR-MANIFOLDS WITH ABELIAN FUNDAMENTAL GROUP

Part of: Differential topology

Published online by Cambridge University Press:  14 October 2011

RAFAEL TORRES
RAFAEL TORRES*
Affiliation:
Department of Mathematics, California Institute of Technology, 1200 E California Blvd, 91125 Pasadena CA, USA (email: [email protected])
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Abstract

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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.

Keywords

symplectic geometrygeography problemtorus surgeryexotic smooth structures

MSC classification

Secondary: 57R55: Differentiable structures
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 91 , Issue 2 , October 2011 , pp. 207 - 218
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

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