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Planar contact 3-manifolds with infinitely many Stein fillings
arXiv Math
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이 매체는 공공·자유 라이선스로 본문을 직접 표시합니다.Abstract
We prove that there are infinitely many closed contact 3-manifolds supported by planar open books, each admitting infinitely many pairwise non-homeomorphic Stein fillings.
This answers K3 Problem 4.105.
As a corollary, there are contact 3-manifolds that admit infinitely many Stein fillings but do not admit arbitrarily large ones.
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