论文标题

从几何措施理论中表征加农炮猜想的候选人

Characterizing candidates for Cannon's Conjecture from Geometric Measure Theory

论文作者

Cheetham-West, Tamunonye, Nolte, Alexander

论文摘要

我们表明,歌曲的最新作品意味着,具有Gromov边界的无扭转双曲线群体$ s^2 $被实现为当且仅当解决相关的球形高原问题的群体同源性问题与此类3- manifold的相关球形同源性问题的解决方案时,并提出了一些相关问题时,将恒定的3个manifolds的基本组实现。

We show that recent work of Song implies that torsion-free hyperbolic groups with Gromov boundary $S^2$ are realized as fundamental groups of closed 3-manifolds of constant negative curvature if and only if the solution to an associated spherical Plateau problem for group homology is isometric to such a 3-manifold, and suggest some related questions.

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