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 Title: Hamiltonian non-isotopy between the Clifford torus and the Chekanov torus in $\R^4$ Author(s): Si, Aerim Advisor(s): Kerman, Ely Department / Program: Mathematics Discipline: Mathematics Degree Granting Institution: University of Illinois at Urbana-Champaign Degree: M.S. Genre: Thesis Subject(s): Hamiltonian isotopy invariant Clifford torus Chekanov torus. Abstract: 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]. Issue Date: 2021-04-29 Type: Thesis URI: http://hdl.handle.net/2142/110739 Rights Information: Copyright 2021 Aerim Si Date Available in IDEALS: 2021-09-17 Date Deposited: 2021-05
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