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Faculty Members

Hiroshi MATSUDA


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Division Mathematical and Material Science, Professor
Academic Degree Ph.D.

Research Field

Topology

Keywords

knot theory

Current Research Topics

Knots are closed 1-dimensional manifolds in a 3-dimensional space.
We study a map from the set of knots to an algebraic object, like polynomials and groups.

Selected Publications

Two homologies for handlebody-knots
Tokyo Journal of Mathematics 46 (2023), 465-490

2-knot homology and Roseman move
Journal of Knot Theory and Its Ramifications 31 (2022)
DOI: 10.1142/S0218216522500390

2-knot homology and Yoshikawa move
Journal of Knot Theory and Its Ramifications 29 (2020)
DOI: 10.1142/S0218216520500674
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