{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/32007"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/32007","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Obstructions to the existence of displaceable Lagrangian submanifolds","abstract":"Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by William Ingram (wingram2@illinois.edu) on 2012-06-27T21:24:50Z Item is restricted until 2014-06-27T21:24:27Z","abstract_html":"Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by William Ingram (wingram2@illinois.edu) on 2012-06-27T21:24:50Z Item is restricted until 2014-06-27T21:24:27Z","abstract_has_math":false,"creators":["Sirikci, Nil Ipek"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Kerman, Ely","Lerman, Eugene","Tolman, Susan","Alexander, Stephanie B."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-06-27T21:24:11Z","date_published":"2012-06-27T21:24:11Z","updated_at":"2026-07-22T22:25:30Z","subjects":["Lagrangian submanifold","Maslov index","Conley-Zehnder index","Floer theory","Hamiltonian flows"],"languages":["en"],"rights":["Copyright 2012 Nil Ipek Sirikci"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/32007","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Kerman, Ely","Lerman, Eugene","Tolman, Susan","Alexander, Stephanie B."]},{"key":"dc:creator","label":"Author","values":["Sirikci, Nil Ipek"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2012-06-27T21:24:11Z","2014-06-28T10:00:25Z","2012-05"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Lagrangian submanifold","Maslov index","Conley-Zehnder index","Floer theory","Hamiltonian flows"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2012 Nil Ipek Sirikci"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/32007"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by William Ingram (wingram2@illinois.edu) on 2012-06-27T21:24:50Z Item is restricted until 2014-06-27T21:24:27Z","Item reinstated by Sarah Shreeves (sshreeve@illinois.edu) on 2014-06-28T10:00:25Z Item was in collections: Graduate Theses and Dissertations at Illinois (ID: 204) Dissertations and Theses - Mathematics (ID: 749) No. of bitstreams: 2 Sirikci_NilIpek.pdf: 365514 bytes, checksum: fd95b1294e6cfcdfeaa66f87b52dba4d (MD5) license.txt: 4060 bytes, checksum: 22d2dabadde24b36d39a96ae32cbd056 (MD5)","Item released from any restrictions by Sarah Shreeves (sshreeve@illinois.edu) on 2014-06-28T10:00:25Z","We utilize Floer theory and an index relation relating the Maslov index, Morse index and Conley-Zehnder index for a periodic orbit of the flow of a specific Hamiltonian function to state and prove some nonexistence results for certain displaceable Lagrangian submanifolds. We start with results under the assumption that the symplectic manifold (M,w) is closed and symplectically aspherical and then generalize to the case when (M,w) is weakly exact. The specific Lagrangian submanifolds in consideration are split hyperbolic submanifolds, spheres, products of spheres, Cayley projective plane and quaternionic projective spaces.","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2012-03-13T19:51:56Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Sirikci_Nil.pdf: 352974 bytes, checksum: a6dfe26f7c64dbe27c8380d6fbb60257 (MD5)","Made available in DSpace on 2012-06-27T21:24:11Z (GMT). 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We start with results under the assumption that the symplectic manifold (M,w) is closed and symplectically aspherical and then generalize to the case when (M,w) is weakly exact. The specific Lagrangian submanifolds in consideration are split hyperbolic submanifolds, spheres, products of spheres, Cayley projective plane and quaternionic projective spaces.","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2012-03-13T19:51:56Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Sirikci_Nil.pdf: 352974 bytes, checksum: a6dfe26f7c64dbe27c8380d6fbb60257 (MD5)","Made available in DSpace on 2012-06-27T21:24:11Z (GMT). No. of bitstreams: 2 Sirikci_NilIpek.pdf: 365514 bytes, checksum: fd95b1294e6cfcdfeaa66f87b52dba4d (MD5) license.txt: 4060 bytes, checksum: 22d2dabadde24b36d39a96ae32cbd056 (MD5)"],"dc:identifier":["http://hdl.handle.net/2142/32007"],"dc:language":["en"],"dc:rights":["Copyright 2012 Nil Ipek Sirikci"],"dc:subject":["Lagrangian submanifold","Maslov index","Conley-Zehnder index","Floer theory","Hamiltonian flows"],"dc:title":["Obstructions to the existence of displaceable Lagrangian submanifolds"],"dc:type":["text"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:30Z"}