辛三分法与附加不等式
Symplectic trisections and the adjunction inequality
AI总结：
该研究为闭辛4-流形建立附加不等式，运用接触几何与4-流形三分法归约问题，通过霍万诺夫同调避免规范理论，可用于给出4-流形拓扑里程碑结果的无规范理论证明。
摘要：
在本文中，我们为闭辛4-流形建立了一个附加不等式的版本。与之前关于托姆猜想的论文类似，我们运用接触几何和4-流形的三分法，将该不等式归约为4-球中纽结的切片-本内昆不等式。由于后一结果可通过霍万诺夫同调证明，我们完全避免了规范理论技术。该不等式可用于给出4-流形拓扑中若干里程碑式结果的无规范理论证明，例如检测奇异光滑结构、辛托姆猜想，以及排除某些辛4-流形的连通和分解。
英文摘要：
In this paper, we establish a version of the adjunction inequality for closed symplectic 4-manifolds. As in a previous paper on the Thom conjecture, we use contact geometry and trisections of 4-manifolds to reduce this inequality to the slice-Bennequin inequality for knots in the 4-ball. As this latter result can be proved using Khovanov homology, we completely avoid gauge theoretic techniques. This inequality can be used to give gauge-theory-free proofs of several landmark results in 4-manifold topology, such as detecting exotic smooth structures, the symplectic Thom conjecture, and exluding connected sum decompositions of certain symplectic 4-manifolds.
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。
