{"id":{"repo_id":"alabama","oai_identifier":"oai:ir.ua.edu:123456789/2317"},"canonical_url":"https://search.dev.ndltd.org/etd/alabama/oai:ir.ua.edu:123456789/2317","repository":{"repo_id":"alabama","name":"University of Alabama","base_url":"https://ir-api.ua.edu/oai/request"},"display":{"title":"Twisting bordered Khovanov homology","abstract":"We describe a bordered version of totally twisted Khovanov homology. We first twist Roberts's type D structure by adding a vertical type D structure which generalizes the vertical map in twisted tangle homology. One of the distinct advantages of our type D structure is that it is homotopy equivalent to a type D structure supported on spanning tree generators. We also describe how to twist Roberts's type A structure for a left tangle in such a way that pairing our type A and type D structures will result in the totally twisted Khovanov homology. 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Analogous to the type D structure, there is a spanning-tree-like model for the type A structure.","abstract_has_math":false,"creators":["Duong, Nguyen Dat"],"institution":"University of Alabama Libraries","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Vo, Liem","Corson, Jon M.","Trace, Bruce S.","Dao, Thang N."],"advisors":["Roberts, Lawrence"],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015","date_published":"2015","updated_at":"2026-07-27T18:44:27Z","subjects":["Mathematics"],"languages":["en_US","English"],"rights":["All rights reserved by the author unless otherwise indicated."],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["u0015_0000001_0001886","Duong_alatus_0004D_12266"],"render_values":[{"text":"u0015_0000001_0001886","href":null,"code":true},{"text":"Duong_alatus_0004D_12266","href":null,"code":true}]}]},"links":{"outbound_url":"https://ir.ua.edu/handle/123456789/2317","outbound_label":"Repository record","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Vo, Liem","Corson, Jon M.","Trace, Bruce S.","Dao, Thang N."]},{"key":"dc:contributor.advisor","label":"Advisor","values":["Roberts, Lawrence"]},{"key":"dc:contributor.other","label":"Dc Contributor Other","values":["University of Alabama Tuscaloosa"]},{"key":"dc:creator","label":"Author","values":["Duong, Nguyen Dat"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2017-03-01T17:23:03Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2017-03-01T17:23:03Z"]},{"key":"dc:date.issued","label":"Date","values":["2015"]},{"key":"dc:publisher","label":"Institution","values":["University of Alabama Libraries"]},{"key":"dc:type","label":"Dc Type","values":["thesis","text"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]},{"key":"dc:language.iso","label":"Language (ISO)","values":["en_US"]},{"key":"dc:rights","label":"Dc Rights","values":["All rights reserved by the author unless otherwise indicated."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["u0015_0000001_0001886","Duong_alatus_0004D_12266"]},{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://ir.ua.edu/handle/123456789/2317"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Electronic Thesis or Dissertation"]},{"key":"dc:description.abstract","label":"Abstract","values":["We describe a bordered version of totally twisted Khovanov homology. We first twist Roberts's type D structure by adding a vertical type D structure which generalizes the vertical map in twisted tangle homology. One of the distinct advantages of our type D structure is that it is homotopy equivalent to a type D structure supported on spanning tree generators. We also describe how to twist Roberts's type A structure for a left tangle in such a way that pairing our type A and type D structures will result in the totally twisted Khovanov homology. 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We first twist Roberts's type D structure by adding a vertical type D structure which generalizes the vertical map in twisted tangle homology. One of the distinct advantages of our type D structure is that it is homotopy equivalent to a type D structure supported on spanning tree generators. We also describe how to twist Roberts's type A structure for a left tangle in such a way that pairing our type A and type D structures will result in the totally twisted Khovanov homology. 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