{"id":{"repo_id":"mit","oai_identifier":"oai:dspace.mit.edu:1721.1/28825"},"canonical_url":"https://search.dev.ndltd.org/etd/mit/oai:dspace.mit.edu:1721.1/28825","repository":{"repo_id":"mit","name":"MIT","base_url":"https://dspace.mit.edu/oai/request"},"display":{"title":"Tight contact structures on small Seifert spaces","abstract":"In this thesis, we discuss the relation between the Euler number of a tight contact small Seifert space and the contact framing of Legendrian vertical circles in it, and apply this relation to classify up to isotopy tight contact structures on small Seifert spaces with e₀ [not equal to] 0, -1, -2.","abstract_html":"In this thesis, we discuss the relation between the Euler number of a tight contact small Seifert space and the contact framing of Legendrian vertical circles in it, and apply this relation to classify up to isotopy tight contact structures on small Seifert spaces with e₀ [not equal to] 0, -1, -2.","abstract_has_math":false,"creators":["Wu, Hao, 1975-"],"institution":"Massachusetts Institute of Technology","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":"Massachusetts Institute of Technology. Dept. of Mathematics.","school":null,"contributors":[],"advisors":["Gang Tian."],"committee_chairs":[],"committee_members":[],"year":2004,"date_issued":"2004","date_published":"2004","updated_at":"2026-07-22T22:21:25Z","subjects":["Mathematics."],"languages":["en_US"],"rights":["M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission."],"rights_urls":["http://dspace.mit.edu/handle/1721.1/7582"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/1721.1/28825","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Gang Tian."]},{"key":"dc:contributor.department","label":"Department","values":["Massachusetts Institute of Technology. Dept. of Mathematics."]},{"key":"dc:contributor.other","label":"Dc Contributor Other","values":["Massachusetts Institute of Technology. Dept. of Mathematics."]},{"key":"dc:creator","label":"Author","values":["Wu, Hao, 1975-"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2005-09-27T18:33:10Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2005-09-27T18:33:10Z"]},{"key":"dc:date.issued","label":"Date","values":["2004"]},{"key":"dc:publisher","label":"Institution","values":["Massachusetts Institute of Technology"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"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.iso","label":"Language (ISO)","values":["en_US"]},{"key":"dc:rights","label":"Dc Rights","values":["M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission."]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://dspace.mit.edu/handle/1721.1/7582"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/1721.1/28825"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2004.","Includes bibliographical references (p. 57-59)."]},{"key":"dc:description.abstract","label":"Abstract","values":["In this thesis, we discuss the relation between the Euler number of a tight contact small Seifert space and the contact framing of Legendrian vertical circles in it, and apply this relation to classify up to isotopy tight contact structures on small Seifert spaces with e₀ [not equal to] 0, -1, -2."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Ph.D."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Tight contact structures on small Seifert spaces"]}]}],"canonical_facts":{"dc:contributor.advisor":["Gang Tian."],"dc:contributor.department":["Massachusetts Institute of Technology. Dept. of Mathematics."],"dc:contributor.other":["Massachusetts Institute of Technology. Dept. of Mathematics."],"dc:creator":["Wu, Hao, 1975-"],"dc:date.accessioned":["2005-09-27T18:33:10Z"],"dc:date.available":["2005-09-27T18:33:10Z"],"dc:date.issued":["2004"],"dc:description":["Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2004.","Includes bibliographical references (p. 57-59)."],"dc:description.abstract":["In this thesis, we discuss the relation between the Euler number of a tight contact small Seifert space and the contact framing of Legendrian vertical circles in it, and apply this relation to classify up to isotopy tight contact structures on small Seifert spaces with e₀ [not equal to] 0, -1, -2."],"dc:description.degree":["Ph.D."],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["http://hdl.handle.net/1721.1/28825"],"dc:language.iso":["en_US"],"dc:publisher":["Massachusetts Institute of Technology"],"dc:rights":["M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission."],"dc:rights.uri":["http://dspace.mit.edu/handle/1721.1/7582"],"dc:subject":["Mathematics."],"dc:title":["Tight contact structures on small Seifert spaces"],"dc:type":["Thesis"]},"updated_at":"2026-07-22T22:21:25Z"}