带端的4流形不等式：纤维边界度量与Seiberg-Witten方程
Inequalities for 4-Manifolds with Ends using Fibered boundary metric and Seiberg-Witten Equations
AI总结：
本文利用Hitchin-Thorpe不等式与Seiberg-Witten方程，为具有纤维边界或尖点度量的非紧四维流形建立新不等式，并证明边界纤维为单点时的情形。
AI中文摘要：
我们利用Hitchin-Thorpe不等式和Seiberg-Witten规范场论技术，为具有无穷远纤维几何的非紧完备四维流形推导出一个新不等式。无穷远纤维几何要么是纤维边界度量，要么是纤维尖点度量。当边界处的纤维为单点时，我们证明了该不等式对纤维边界度量成立。
英文摘要：
We deduce a new inequality using the Hitchin-Thorpe inequality for noncompact complete four-dimensional manifolds with fibered geometry at infinity and Seiberg-Witten gauge-theoretic techniques. Fibered geometry at infinity is either fibered boundary metric or fibered cusp metric. We prove it for fibered boundary metric when the fiber at boundary is a single point.
