论文标题
气喘吁吁的双曲线3个manifolds
The panted cobordism group of cusped hyperbolic 3-manifolds
论文作者
论文摘要
对于任何面向脱落的双曲线$ 3 $ - manifold $ m $，我们研究其$（r，ε）$ - 气喘吁吁的cobordism群体，这是由$（r，ε）$ - $ m $ modulo $（r，ε）$（r，ε）$（r，ε）$（r，ε）$（r，ε）$好的良好的良好曲线产生的abelian集团。特别是，我们证明，对于足够小的$ε> 0 $和足够大的$ r> 0 $，$（r，ε）$ - $ m $的$（r，ε）$ - $ m $的cobordism grout是同构至$ h_1（\ text {so} {so}（so}（so}（m）; \ nathbb {z}）$。
For any oriented cusped hyperbolic $3$-manifold $M$, we study its $(R,ε)$-panted cobordism group, which is the abelian group generated by $(R,ε)$-good curves in $M$ modulo the oriented boundaries of $(R,ε)$-good pants. In particular, we prove that for sufficiently small $ε>0$ and sufficiently large $R>0$, some modified version of the $(R,ε)$-panted cobordism group of $M$ is isomorphic to $H_1(\text{SO}(M);\mathbb{Z})$.
