{"id":{"repo_id":"wfu","oai_identifier":"oai:wakespace.lib.wfu.edu:10339/37308"},"canonical_url":"https://search.dev.ndltd.org/etd/wfu/oai:wakespace.lib.wfu.edu:10339/37308","repository":{"repo_id":"wfu","name":"Wake Forest University","base_url":"https://wakespace.lib.wfu.edu/oai/request"},"display":{"title":"Two-Component Link Symmetries","abstract":"A mathematical knot is a closed curve in a three-dimensional space that does not intersect itself, while a link is two or more such curves that do not intersect each other. We consider the ``intrinsic'' symmetry group of a two-component link L which records directly whether L is isotopic to a link obtained by reversing the orientation of the ambient space, reversing the orientations of the components, or permuting the components of L. It is a subgroup of the Whitten group, the group of all such isotopies.","abstract_html":"A mathematical knot is a closed curve in a three-dimensional space that does not intersect itself, while a link is two or more such curves that do not intersect each other. We consider the ``intrinsic'' symmetry group of a two-component link L which records directly whether L is isotopic to a link obtained by reversing the orientation of the ambient space, reversing the orientations of the components, or permuting the components of L. It is a subgroup of the Whitten group, the group of all such isotopies.","abstract_has_math":false,"creators":["Cornish, James Stevens"],"institution":"Wake Forest University","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012","date_published":"2012","updated_at":"2026-07-27T22:01:27Z","subjects":["Link Symmetries"],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10339/37308","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Cornish, James Stevens"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2012-06-12T08:36:05Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2012-06-12T08:36:05Z"]},{"key":"dc:date.issued","label":"Date","values":["2012"]},{"key":"dc:publisher","label":"Institution","values":["Wake Forest University"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Link Symmetries"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10339/37308"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["A mathematical knot is a closed curve in a three-dimensional space that does not intersect itself, while a link is two or more such curves that do not intersect each other. We consider the ``intrinsic'' symmetry group of a two-component link L which records directly whether L is isotopic to a link obtained by reversing the orientation of the ambient space, reversing the orientations of the components, or permuting the components of L. It is a subgroup of the Whitten group, the group of all such isotopies."]},{"key":"dc:title","label":"Title","values":["Two-Component Link Symmetries"]}]}],"canonical_facts":{"dc:creator":["Cornish, James Stevens"],"dc:date.accessioned":["2012-06-12T08:36:05Z"],"dc:date.available":["2012-06-12T08:36:05Z"],"dc:date.issued":["2012"],"dc:description.abstract":["A mathematical knot is a closed curve in a three-dimensional space that does not intersect itself, while a link is two or more such curves that do not intersect each other. We consider the ``intrinsic'' symmetry group of a two-component link L which records directly whether L is isotopic to a link obtained by reversing the orientation of the ambient space, reversing the orientations of the components, or permuting the components of L. It is a subgroup of the Whitten group, the group of all such isotopies."],"dc:identifier.uri":["http://hdl.handle.net/10339/37308"],"dc:language.iso":["en"],"dc:publisher":["Wake Forest University"],"dc:subject":["Link Symmetries"],"dc:title":["Two-Component Link Symmetries"],"dc:type":["Thesis"]},"updated_at":"2026-07-27T22:01:27Z"}