论文标题
定向的Getzler-Kapranov综合体和框架曲线
Oriented Getzler-Kapranov complexes and framed curves
论文作者
论文摘要
在本文中,我们介绍并研究了以Getzler-Kapranov综合体为导向。这些复合物是默克洛夫(S. Merkulov)方向的图形复合物的概括。我们研究了它们与复杂和热带曲线的模量空间,色带图复合物以及弦拓扑中动机结构的关系。
In the present paper, we introduce and study oriented Getzler-Kapranov complexes. These complexes are generalizations of S. Merkulov's oriented graph complex. We investigate their relation to the cohomology of moduli spaces of complex and tropical curves, ribbon graph complexes, and motivic structures in string topology.