论文标题
Bismut-Lott Torsion形式和ETA形式的分析手术和粘合
Analytic surgery and gluing of the Bismut-Lott torsion form and eta form
论文作者
论文摘要
鉴于具有封闭连接的纤维的纤维束，以及一个分离超曲面的家族，我们研究了在Hassell，Mazzeo和Melrose的意义上，在分析手术下，在分析手术下，Bismut-Lott分析扭转形式的行为和双重性束的ETA形式。我们发现，在手术限制下，重新固定的热核是非奇异的，而bismut-lott分析扭转形式和ETA形式都可以写成作为对数术语的总和，该术语满足Igusa添加性属性，b- bimut-lott lott torsion torsion torsion torsion torsion torsion torsion torsion torsion torsion torsion torsion torce tore the B-eta形式（分别是错误的术语），来自误差术语。因此，我们获得了这些不变的胶合公式。
Given a fiber bundle with closed connected fibers, and a family of separating hypersurfaces, we study the behavior of the Bismut-Lott analytic torsion form, and the eta form for a duality bundle, under analytic surgery in the sense of Hassell, Mazzeo and Melrose. We find that under the surgery limit, the rescaled heat kernel is non-singular, while both the Bismut-Lott analytic torsion form and eta form can be written as the sum of a logarithmic term, which satisfies the Igusa additivity property, the b- Bismut-Lott analytic torsion form (respectively the b- eta form), and an error term coming from the reduced normal operator. Hence we obtain a gluing formula for these invariants.
