解链手术、分支覆盖与椭圆曲面上的铅笔束
Unchaining surgery, branched covers, and pencils on elliptic surfaces
AI总结：
证明Baykur等人构造的无限族辛流形均微分同胚于椭圆曲面，从而得出其中的辛Calabi-Yau 4-流形同胚于标准K3曲面，并揭示了椭圆曲面及其吹胀空间上Lefschetz铅笔束的存在性与不等价性。
摘要：
我们证明，由 R. Inanc Baykur、Kenta Hayano 和 Naoyuki Monden（arXiv:1903:02906）构造的无限族辛流形中的每个成员都微分同胚于一个椭圆曲面。由此得出：(1) 其族中的辛 Calabi-Yau 4-流形微分同胚于标准 K3 曲面；(2) 每个椭圆曲面 E(n) 承认一个亏格 g 的 Lefschetz 铅笔束，对所有大于或等于 n 的 g；(3) 每个吹胀一次的椭圆曲面 E(n) 承认一对不等价的亏格 g 的 Lefschetz 铅笔束，对所有大于或等于 n 的 g。
英文摘要：
We show that every member of an infinite family of symplectic manifolds constructed by R. Inanc Baykur, Kenta Hayano, and Naoyuki Monden (arXiv:1903:02906) is diffeomorphic to an elliptic surface. As a result: (1) the symplectic Calabi-Yau 4-manifolds among their family are diffeomorphic to the standard K3 surface; (2) each elliptic surface E(n) admits a genus g Lefschetz pencil, for all g greater than or equal to n; and (3) each elliptic surface E(n) blown up once admits a pair of inequivalent genus g Lefschetz pencils, for all g greater than or equal to n.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
