2026-09-22T12:17:18Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/110739 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Kerman, Ely Si, Aerim 2021-09-17T02:34:47Z 2021-09-17T02:34:47Z 2023-09-17T02:34:57Z 2021-04-29 2021-05 The topic of this expository master's thesis concerns proving the Hamiltonian non-isotopy between the monotone Clifford torus and the Chekanov torus in $\R^4$ by employing three Hamiltonian isotopy invariants: counting of Maslov index 2 pseudo-holomorphic discs with boundaries lying on the torus [EP], the Hamiltonian invariant associated to versal deformations and symplectic capacity [Ch1], and the Hamiltonian invariant defined by Hamiltonian monodromy group of the torus [Yau]. Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2023-05-01 The student, Aerim Si, accepted the attached license on 2021-04-24 at 02:49. The student, Aerim Si, submitted this Thesis for approval on 2021-04-24 at 03:06. This Thesis was approved for publication on 2021-04-29 at 16:09. DSpace SAF Submission Ingestion Package generated from Vireo submission #16542 on 2021-09-16 at 17:05:11 Made available in DSpace on 2021-09-17T02:34:47Z (GMT). No. of bitstreams: 2 SI-THESIS-2021.pdf: 397165 bytes, checksum: 363f550bbc85dbe2238d2d30f287554e (MD5) LICENSE.txt: 4205 bytes, checksum: 7cde263ebdf908e36e0e0bfc2863126d (MD5) Previous issue date: 2021-04-29 Embargo set by: Seth Robbins for item 118582 Lift date: 2023-09-17T02:34:57Z Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system U of I Only application/pdf http://hdl.handle.net/2142/110739 en Copyright 2021 Aerim Si Hamiltonian isotopy invariant Clifford torus Chekanov torus. Hamiltonian non-isotopy between the Clifford torus and the Chekanov torus in $\R^4$ text Thesis Mathematics Mathematics University of Illinois at Urbana-Champaign Thesis M.S.