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GEOGRAPHY AND BOTANY OF IRREDUCIBLE NON-SPIN SYMPLECTIC 4-MANIFOLDS WITH ABELIAN FUNDAMENTAL GROUP

Published online by Cambridge University Press:  13 August 2013

RAFAEL TORRES
RAFAEL TORRES*
Affiliation:
Department of Mathematics, California Institute of Technology, 1200 E California Blvd, Pasadena 91125, CA, USA e-mail: rtorresr@caltech.edu
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Abstract

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The geography and botany problems of irreducible non-spin symplectic 4-manifolds with a choice of fundamental group from $\{{\mathbb{Z}}_p, {\mathbb{Z}}_p\oplus {\mathbb{Z}}_q, {\mathbb{Z}}, {\mathbb{Z}}\oplus {\mathbb{Z}}_p, {\mathbb{Z}}\oplus {\mathbb{Z}}\}$ are studied by building upon the recent progress obtained on the simply connected realm. Results on the botany of simply connected 4-manifolds not available in the literature are extended.

Keywords

Primary 57R17Secondary 57M0554D05
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 56 , Issue 2 , May 2014 , pp. 261 - 281
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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