限制到子空间的谱流与辛约化中的Maslov指标
The Spectral Flow of a Restriction to a Subspace and the Maslov Indices in a Symplectic Reduction
AI总结：
本文给出Fredholm型二次型路径的谱流与其限制到固定闭有限余维子空间上的谱流之间关系的一个简单证明，并应用于Fredholm Lagrangian Grassmannian中路径的Maslov指标与其辛约化后路径的Maslov指标的关系。
摘要：
我们给出了一个已知公式的简单证明，该公式将Fredholm型二次型连续路径的谱流与这些形式限制到固定闭有限余维子空间上的谱流联系起来。然后我们应用此公式，得到了Fredholm Lagrangian Grassmannian中连续路径的Maslov指标与其通过闭有限余维coisotropic子空间进行辛约化后的Maslov指标之间的关系。
英文摘要：
We give a simple proof of a known formula that relates the spectral flow of a continuous path of quadratic forms of Fredholm type with the spectral flow of the restrictions of the forms to a fixed closed finite codimensional subspace. We then apply this to obtain a formula relating the Maslov index of a continuous path in a Fredholm Lagrangian Grassmannian with the Maslov index of its symplectic reduction by a closed finite codimensional coisotropic subspace.
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。
