2026-09-24T14:32:11Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/32007 2023-07-10 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

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 http://hdl.handle.net/2142/32007 en Copyright 2012 Nil Ipek Sirikci Lagrangian submanifold Maslov index Conley-Zehnder index Floer theory Hamiltonian flows Obstructions to the existence of displaceable Lagrangian submanifolds text Kerman, Ely Lerman, Eugene Kerman, Ely Tolman, Susan Alexander, Stephanie B. Sirikci, Nil Ipek 2012-06-27T21:24:11Z 2012-06-27T21:24:11Z 2014-06-28T10:00:25Z 2012-05 2012-06-27T21:24:11Z 2012-05 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 Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2012-03-13T19:51:56Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: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). No. of bitstreams: 2 Sirikci_NilIpek.pdf: 365514 bytes, checksum: fd95b1294e6cfcdfeaa66f87b52dba4d (MD5) license.txt: 4060 bytes, checksum: 22d2dabadde24b36d39a96ae32cbd056 (MD5) Mathematics 1257 Mathematics 0439 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Mathematics -UIUC 10KS0439PHD