Exotic Stein fillings with arbitrary fundamental group

Anar Akhmedov; Burak Ozbagci

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arXiv · 1212.1743

Exotic Stein fillings with arbitrary fundamental group

Anar Akhmedov·Burak Ozbagci

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Abstract

For any finitely presentable group $G$, we show the existence of an isolated complex surface singularity link which admits infinitely many exotic Stein fillings such that the fundamental group of each filling is isomorphic to $G$. We also provide an infinite family of closed exotic smooth four-manifolds with the fundamental group $G$ such that each member of the family admits a non-holomorphic Lefschetz fibration over the two-sphere.

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BibTeX RIS

Anar Akhmedov, Burak Ozbagci. 2012-12-08. Exotic Stein fillings with arbitrary fundamental group. https://arxiv.org/abs/1212.1743

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