论文标题

在稳定的换向器长度上,表面不填充曲线

On stable commutator length of non-filling curves in surfaces

论文作者

Forester, Max, Malestein, Justin

论文摘要

我们给出了表面组某些元素稳定换向器长度(SCL)合理性的新证明:那些由不填充表面的曲线表示的曲线。这样的元素总是接收SCL的极端表面。这些结果对于非填充1链也更普遍。

We give a new proof of rationality of stable commutator length (scl) of certain elements in surface groups: those represented by curves that do not fill the surface. Such elements always admit extremal surfaces for scl. These results also hold more generally for non-filling 1-chains.

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