Translator Disclaimer
2016 Surgery along star-shaped plumbings and exotic smooth structures on $4$–manifolds
Çağri Karakurt, Laura Starkston
Algebr. Geom. Topol. 16(3): 1585-1635 (2016). DOI: 10.2140/agt.2016.16.1585

Abstract

We define a new 4–dimensional symplectic cut and paste operation which is analogous to Fintushel and Stern’s rational blow-down. We use this operation to produce multiple constructions of symplectic smoothly exotic complex projective spaces blown up eight, seven, and six times. We also show how this operation can be used in conjunction with knot surgery to construct an infinite family of minimal exotic smooth structures on the complex projective space blown-up seven times.

Citation

Download Citation

Çağri Karakurt. Laura Starkston. "Surgery along star-shaped plumbings and exotic smooth structures on $4$–manifolds." Algebr. Geom. Topol. 16 (3) 1585 - 1635, 2016. https://doi.org/10.2140/agt.2016.16.1585

Information

Received: 8 October 2014; Revised: 15 September 2015; Accepted: 16 September 2015; Published: 2016
First available in Project Euclid: 28 November 2017

zbMATH: 1350.57033
MathSciNet: MR3523050
Digital Object Identifier: 10.2140/agt.2016.16.1585

Subjects:
Primary: 53Dxx
Secondary: 57R57

Rights: Copyright © 2016 Mathematical Sciences Publishers

JOURNAL ARTICLE
51 PAGES


SHARE
Vol.16 • No. 3 • 2016
MSP
Back to Top