Surgery along star shaped plumbings and exotic smooth structures on 4-manifolds

Cagri Karakurt; Laura Starkston

doi:10.2140/agt.2016.16.1585

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arXiv · 1402.0801

Surgery along star shaped plumbings and exotic smooth structures on 4-manifolds

Cagri Karakurt·Laura Starkston

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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 space blown-up eight times, seven times, 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.

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BibTeX RIS

Cagri Karakurt, Laura Starkston. 2015-09-12. Surgery along star shaped plumbings and exotic smooth structures on 4-manifolds. https://doi.org/10.2140/agt.2016.16.1585

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