论文标题

处理分解复杂性和表示空间

Handle decomposition complexity and representation spaces

论文作者

Aceto, Paolo, Daemi, Aliakbar, Hom, Jennifer, Lidman, Tye, Park, JungHwan

论文摘要

我们证明,有三个角度的同源性可以绑定四个序列,但是任何此类界限的四个manifold都必须由许多手柄构建。该论点使用Instanton Floer同源性的同源性共同体不变$γ$。

We prove that there are homology three-spheres that bound definite four-manifolds, but any such bounding four-manifold must be built out of many handles. The argument uses the homology cobordism invariant $Γ$ from instanton Floer homology.

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