论文标题
绝热限制，威特变形和分析扭转形式
Adiabatic limit, Witten deformation and analytic torsion forms
论文作者
论文摘要
我们认为配备了扁平复合矢量束的光滑振动，并且超出表面将纤维切成两块。我们的主要结果是一个粘合公式，该公式将整个纤维化的bismut-lott分析扭转形式与每件纤维的分析扭转形式相关。该结果证实了2003年在Goettingen会议上提出的一个猜想。我们的方法结合了沿着高表面的正常方向的绝热极限，并在平面矢量束上的Witten类型变形。由于作者之间的分歧，作者张单方面决定从不发表本文。如果您看到本文发表在某个地方，那么它一定是没有张的批准。
We consider a smooth fibration equipped with a flat complex vector bundle and a hypersurface cutting the fibration into two pieces. Our main result is a gluing formula relating the Bismut-Lott analytic torsion form of the whole fibration to that of each piece. This result confirms a conjecture proposed in a conference in Goettingen in 2003. Our approach combines an adiabatic limit along the normal direction of the hypersurface and a Witten type deformation on the flat vector bundle. Due to disagreement among authors, author Zhang unilaterally decides to never publish this paper. If you saw this paper published somewhere, it must be without Zhang's approvement.
