Fox pairings of Poincar\'{e} duality groups
Geometric Topology
2021-12-16 v1 Algebraic Topology
Abstract
This paper develops the study of Fox pairings of a group from the viewpoint of group cohomology. We compute some cohomology groups of Fox pairings of , where admits a Poincar\'{e} duality group pair. We also suggest fundamental Fox pairings and higher Fox pairings.
Keywords
Cite
@article{arxiv.2112.07951,
title = {Fox pairings of Poincar\'{e} duality groups},
author = {Takefumi Nosaka},
journal= {arXiv preprint arXiv:2112.07951},
year = {2021}
}
Comments
19 pages, Comments are welcome