具有无穷多个斯坦因填充的平面接触三维流形
Planar contact 3-manifolds with infinitely many Stein fillings
AI总结：
研究由平面开书支撑的闭接触三维流形，通过证明其有无穷多个两两非同胚的斯坦因填充，回答了K3问题4.105，并得出存在特定接触三维流形的相关推论。
AI中文摘要：
我们证明，存在由平面开书支撑的无穷多个闭接触三维流形，每个都允许无穷多个两两非同胚的斯坦因填充。这回答了K3问题4.105。作为推论，存在允许无穷多个斯坦因填充但不允许任意大的填充的接触三维流形。
英文摘要：
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.
