Finite type invariants and Milnor invariants by clasper theory
Description: A link-homotopy is an equivalence relation on links generated by ambient isotopies and self-crossing changes. I constructed link-homotopy invariants for 4-component links and researched properties of link-homotopy classes of links by the invariants. I also researched properties of link-homotopy classes of handle-body links by making invariants. I also researched geometric properties of Goussarov-Polyak-Viro's finite type invariants on virtual links.
Amount: ¥2,730,000
Funding type: fellowship
Funder scheme: Grant-in-Aid for Young Scientists (B)
Start date: 2016-04-01
End date: 2021-03-31
Investigator: Yuka Kotorii
Institution: Hiroshima University(2020)Institute of Physical and Chemical Research(2017-2019)The University of Tokyo(2016)
Funded outputs count: 6
Funder award ID: 16K17586
OpenAlex ID: G44082030