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Geography of simply connected nonspin symplectic 4-manifolds with positive signature. II

Part of: Differential topology

Published online by Cambridge University Press:  10 July 2020

Anar Akhmedov  and
B. Doug Park
Anar Akhmedov
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, MN55455, USA e-mail: akhmedov@umn.edu
B. Doug Park*
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, ONN2L 3G1, Canada
*
e-mail: bdpark@uwaterloo.ca
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Abstract

Building upon our earlier work with M. C. Hughes, we construct many new smooth structures on closed simply connected nonspin $4$ -manifolds with positive signature. We also provide numerical and asymptotic upper bounds on the function $\lambda (\sigma )$ that was defined in our earlier work.

Keywords

Symplectic 4-manifoldgeographyknot surgerysymplectic normal sum

MSC classification

Secondary: 57R55: Differentiable structures
Type
Article
Information
Canadian Mathematical Bulletin , Volume 64 , Issue 2 , June 2021 , pp. 418 - 428
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Copyright
© Canadian Mathematical Society 2020

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Footnotes

The first author was partially supported by a Simons Research Fellowship and Collaboration Grant for Mathematicians from the Simons Foundation. The second author was partially supported by an NSERC discovery grant.

References

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