We welcome all undergraduate\/graduate students and faculty to attend topology seminar!<\/p>\n
Speaker: Migiwa Sakurai (Shibaura Institute of Technology)<\/p>\n
Title: Clasp pass moves and arrow polynomials of virtual knots<\/p>\n
Abstract: For classical knots, clasp pass moves are closely related to Vassiliev invariants of degree 3. Tsukamoto showed that the values of the Vassiliev invariant of degree 3 induced from the Jones polynomial for two knots differ by 0 or +36\/-36, if they are related by a single clasp pass move. For virtual knots, the arrow polynomial is a generalization of the Jones polynomial and induces a Vassiliev invariant of degree 3. We show that the values of the Vassiliev invariant of degree 3 induced from the arrow polynomial of two virtual knots differ by 0 or +2304\/-2304, if they are related by a single clasp pass move. We also obtain a lower bound of the distance between virtual knots by clasp pass moves.<\/p>","excerpt":"","slug":"claremont-topology-seminar-migiwa-sakurai-shibaura-institute-of-technology","image":false,"all_day":false,"start_date":"2024-09-17 15:00:00","start_date_details":{"year":"2024","month":"09","day":"17","hour":"15","minutes":"00","seconds":"00"},"end_date":"2024-09-17 16:00:00","end_date_details":{"year":"2024","month":"09","day":"17","hour":"16","minutes":"00","seconds":"00"},"utc_start_date":"2024-09-17 22:00:00","utc_start_date_details":{"year":"2024","month":"09","day":"17","hour":"22","minutes":"00","seconds":"00"},"utc_end_date":"2024-09-17 23:00:00","utc_end_date_details":{"year":"2024","month":"09","day":"17","hour":"23","minutes":"00","seconds":"00"},"timezone":"America\/Los_Angeles","timezone_abbr":"PDT","cost":"","cost_details":{"currency_symbol":"","currency_code":"","currency_position":"","values":[]},"website":"https:\/\/pzacad.pitzer.edu\/math\/TopologySeminar\/","show_map":true,"show_map_link":true,"hide_from_listings":false,"sticky":false,"featured":false,"categories":[{"name":"Topology Seminar","slug":"topology-seminar","term_group":0,"term_taxonomy_id":17,"taxonomy":"tribe_events_cat","description":"","parent":0,"count":78,"filter":"raw","term_order":"0","id":17,"urls":{"self":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/tribe\/events\/v1\/categories\/17","collection":"https:\/\/colleges.claremont.edu\/ccms\/wp-json\/tribe\/events\/v1\/categories"}}],"tags":[],"venue":{"id":3332,"author":"73","status":"publish","date":"2023-12-14 21:05:45","date_utc":"2023-12-15 05:05:45","modified":"2023-12-14 21:05:45","modified_utc":"2023-12-15 05:05:45","url":"https:\/\/colleges.claremont.edu\/ccms\/venue\/estella-2099\/","venue":"Estella 2099","slug":"estella-2099","json_ld":{"@type":"Place","name":"Estella 2099","description":"","url":"https:\/\/colleges.claremont.edu\/ccms\/venue\/estella-2099\/","address":{"@type":"PostalAddress"},"telephone":"","sameAs":""},"show_map":true,"show_map_link":true,"global_id":"colleges.claremont.edu\/ccms?id=3332","global_id_lineage":["colleges.claremont.edu\/ccms?id=3332"]},"organizer":[{"id":3155,"author":"204","status":"publish","date":"2023-08-28 09:40:44","date_utc":"2023-08-28 16:40:44","modified":"2023-09-13 00:50:40","modified_utc":"2023-09-13 07:50:40","url":"https:\/\/colleges.claremont.edu\/ccms\/organizer\/bahar-acu\/","organizer":"Bahar Acu","slug":"bahar-acu","email":"Bahar_Acu@pitzer.edu","json_ld":{"@type":"Person","name":"Bahar Acu","description":"","url":"","telephone":"","email":"Bahar_Acu@pitzer.edu","sameAs":""},"global_id":"colleges.claremont.edu\/ccms?id=3155","global_id_lineage":["colleges.claremont.edu\/ccms?id=3155"]}],"custom_fields":[],"json_ld":{"@context":"http:\/\/schema.org","@type":"Event","name":"Claremont Topology Seminar: Migiwa Sakurai (Shibaura Institute of Technology)","description":"<p>We welcome all undergraduate\/graduate students and faculty to attend topology seminar! Speaker: Migiwa Sakurai (Shibaura Institute of Technology) Title: Clasp pass moves and arrow polynomials of virtual knots Abstract: For […]<\/p>\\n","url":"https:\/\/colleges.claremont.edu\/ccms\/event\/claremont-topology-seminar-migiwa-sakurai-shibaura-institute-of-technology\/","eventAttendanceMode":"https:\/\/schema.org\/OfflineEventAttendanceMode","eventStatus":"https:\/\/schema.org\/EventScheduled","startDate":"2024-09-17T15:00:00-07:00","endDate":"2024-09-17T16:00:00-07:00","location":{"@type":"Place","name":"Estella 2099","description":"","url":"https:\/\/colleges.claremont.edu\/ccms\/venue\/estella-2099\/","address":{"@type":"PostalAddress"},"telephone":"","sameAs":""},"organizer":{"@type":"Person","name":"Bahar Acu","description":"","url":"","telephone":"","email":"Bahar_Acu@pitzer.edu","sameAs":""},"performer":"Organization"},"is_virtual":false,"virtual_url":null,"virtual_video_source":""}