论文标题
关于Penner的Cocycle的注释
A note on Penner's cocycle on the fatgraph complex
论文作者
论文摘要
我们研究了彭纳（Penner）引入的刺穿表面的脂肪仪复合物上的1个环。我们为这次合子提供了一个明确的共同的双线，其公式涉及对三价脂肪脊柱三价顶点的总结。我们以类似的方式表达了给定脂肪脊柱的基础表面的符合形式。
We study a 1-cocycle on the fatgraph complex of a punctured surface introduced by Penner. We present an explicit cobounding cochain for this cocycle, whose formula involves a summation over trivalent vertices of a trivalent fatgraph spine. In a similar fashion, we express the symplectic form of the underlying surface of a given fatgraph spine.
