三维流形中的本质圆盘与半本质曲面
Essential disks and semi-essential surfaces in 3-manifolds
摘要：
如果M是一个具有可压缩边界的流形，我们分析了M中的本质圆盘，以及M中的不可压缩曲面，但不一定是边界不可压缩曲面。我们最感兴趣的是M是压缩体或压缩体的情况。分析依赖于一个新的正常的表面理论。我们希望法面理论能在其他论文中被用来描述具有可压缩边界的三体或三维流形中的本质圆盘极限。对于某些自同构体，这些圆盘极限应该作为不变对象，类似于叠层，类似于曲面的伪Anosov自同构的不变叠层。
英文摘要：
If M is a manifold with compressible boundary, we analyze essential disks in M, as well as incompressible, but not necessarily boundary incompressible, surfaces in M. We are most interested in the case where M is a handlebody or compression body. The analysis depends on a new normal surface theory. We hope the normal surface theory will be used in other papers to describe objects representing limits of essential disks in a handlebody or a 3-manifold with compressible boundary. For certain automorphisms of handlebodies, these disk limits should serve as invariant objects akin to laminations and analogous to the invariant laminations for pseudo-Anosov automorphisms of surfaces.
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。
