English

Homology of relative trisection and its application

Geometric Topology 2021-01-28 v1

Abstract

Feller, Klug, Schirmer and Zemke showed the homology and the intersection form of a closed trisected 4-manifold are described in terms of trisection diagram. In this paper, it is confirmed that we are able to calculate those of a trisected 4-manifold with boundary in a similar way. Moreover, we describe a representative of the second Stiefel-Whitney class by the relative trisection diagram.

Keywords

Cite

@article{arxiv.2101.11493,
  title  = {Homology of relative trisection and its application},
  author = {Hokuto Tanimoto},
  journal= {arXiv preprint arXiv:2101.11493},
  year   = {2021}
}

Comments

17 pages, 6 figures