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

Anar Akhmedov; B. Doug Park

doi:10.4153/S0008439520000533

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

Anar Akhmedov, B. Doug Park

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	418-428
Number of pages	11
Journal	Canadian Mathematical Bulletin
Volume	64
Issue number	2
DOIs	https://doi.org/10.4153/S0008439520000533
State	Published - Jun 2021

Bibliographical note

Funding Information:
Received by the editors May 9, 2020. Published online on Cambridge Core July 10, 2020. e first author was partially supported by a Simons Research Fellowship and Collaboration Grant for Mathematicians from the Simons Foundation. e second author was partially supported by an NSERC discovery grant. AMS subject classification: 57K43, 57R55. Keywords: Symplectic 4-manifold, geography, knot surgery, symplectic normal sum.

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

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