关于连通图空间III：梯形过滤
On spaces of connected graphs III: The Ladder Filtration
摘要：
在纽结和3-流形的有限型不变量理论中引入了一种新的三/单叶图空间B_m^u的滤子.结合前两篇文章的结果，用两类边和四类顶点的图空间来模拟这种过滤的子空间，并给出了dim B_m^u关于过滤子空间维数的一个上界.当u=0和u=2时，B_m^u已知的次数m增加了2。
英文摘要：
A new filtration of the spaces of tri-/univalent graphs B_m^u that occur in the theory of finite-type invariants of knots and 3-manifolds is introduced. Combining the results of the two preceding articles, the quotients of this filtration are modeled by spaces of graphs with two types of edges and four types of vertices, and an upper bound for dim B_m^u in terms of the dimensions of the filtration quotients is given. The degree m up to which B_m^u is known is raised by two for u=0 and u=2.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
