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arXiv · 2002.05524

Stein domains with exotic contact boundaries

Mu Zhao
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Abstract

We introduce a new invariant, the \textit{positive idempotent group}, for strongly asymptotically dynamically convex contact manifolds. This invariant can be used to distinguish different contact structures. As an application, for any complex dimension $n>8$ and any positive integer $k$, we can construct $n-$dimensional Stein manifolds $V_0,V_1,\cdots,V_k$ such that $\tilde{H}_j(V_i)=0, j\neq n-1,n$, $V_i's$ are almost symplectomorphic, their boundaries are in the same almost contact class but not contactomorphic.

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Mu Zhao. 2020-02-12. Stein domains with exotic contact boundaries. https://arxiv.org/abs/2002.05524

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