arXiv subjects

Hokuto Tanimoto

Publications and source records attributed to Hokuto Tanimoto.

2 recordsLinked to original sources

arXiv2023

A property of $γ$ curves derived from topology of relative trisected 4-manifolds

Any two $(g; 0, 0, k)$-trisected closed 4-manifolds are related to each other by cutting and regluing in regard to $γ$ curves by an element of the Torelli group. Moreover, Lambert-Cole showed that this element can be replaced by an element of the Johnson kernel. We consider similar situation in the relative case. Furthermore, we relate this situation to cork twist.

math.GT↗

arXiv2021

Homology of relative trisection and its application

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.

math.GT↗