论文标题
固定基本组的简单量的光谱
The spectrum of simplicial volume with fixed fundamental group
论文作者
论文摘要
我们研究了具有固定基本组的封闭流形的简单量的频谱，并将差距问题与有限（CO）同源性的理性问题相关联。特别是，我们表明，在许多情况下，此频谱的差距为零。对于此类组，这导致了最小体积熵半符号和尺寸4中最小体积熵的相应间隙结果。
We study the spectrum of simplicial volume for closed manifolds with fixed fundamental group and relate the gap problem to rationality questions in bounded (co)homology. In particular, we show that in many cases this spectrum has a gap at zero. For such groups, this leads to corresponding gap results for the minimal volume entropy semi-norm and for the minimal volume entropy in dimension 4.
