A Diagonal on the Associahedra
代数拓扑
2007-05-23 v2
摘要
Let C_*(K) denote the cellular chains on the Stasheff associahedra. We construct an explicit combinatorial diagonal \Delta : C_*(K) --> C_*(K) \otimes C_*(K); consequently, we obtain an explicit diagonal on the A_\infty-operad. We apply the diagonal \Delta to define the tensor product of A_\infty-(co)algebras in maximal generality.
引用
@article{arxiv.math/0011065,
title = {A Diagonal on the Associahedra},
author = {Samson Saneblidze and Ronald Umble},
journal= {arXiv preprint arXiv:math/0011065},
year = {2007}
}