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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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