{"id":"https://openalex.org/G44082030","display_name":"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.","funder_award_id":"16K17586","funder":{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","doi":"10.13039/501100001691"},"funded_outputs":["https://openalex.org/W2963115585","https://openalex.org/W2963154390","https://openalex.org/W3009863665","https://openalex.org/W4288359799","https://openalex.org/W4378389279","https://openalex.org/W4415132708"],"funded_outputs_count":6,"parent_awards":[],"sub_awards":[],"sub_awards_count":0,"amount":2730000.0,"currency":"JPY","amount_usd":null,"amount_usd_basis":null,"recipients":[],"recipient_countries":[],"recipient_regions":[],"research_scope":null,"funding_type":"fellowship","funder_scheme":"Grant-in-Aid for Young Scientists (B)","start_date":"2016-04-01","end_date":"2021-03-31","start_year":2016,"end_year":2021,"landing_page_url":"https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-16K17586/","doi":null,"provenance":"kaken","lead_investigator":{"given_name":"Yuka","family_name":"Kotorii","orcid":null,"role_start":null,"affiliation":{"name":"Hiroshima University(2020)Institute of Physical and Chemical Research(2017-2019)The University of Tokyo(2016)","country":"Japan","ids":[{"id":"https://nrid.nii.ac.jp/nrid/1000030737143","type":"nrid","asserted_by":"kaken"}]}},"co_lead_investigator":null,"investigators":null,"works_api_url":"https://api.openalex.org/works?filter=awards.id:G44082030","primary_topic":null,"topics":null,"institution_awarded":[{"id":"https://openalex.org/I113306721","display_name":"Hiroshima University","ror":"https://ror.org/03t78wx29","country_code":"JP","type":"education","lineage":["https://openalex.org/I113306721"]}],"updated_date":"2026-08-06T05:01:25.000Z","created_date":"2026-07-13T04:17:19.000Z"}