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- W2890889581 abstract "Author(s): Shon, Jeongmin | Advisor(s): Ginzburg, Viktor L | Abstract: In this thesis, we study Reeb dynamics on prequantization circle bundles and the filtered (equivariant) symplectic homology of prequantization line bundles, aka negative line bundles, with symplectically aspherical base. We define (equivariant) symplectic capacities, obtain an upper bound on their growth, prove uniform instability of the filtered symplectic homology and touch upon the question of stable displacement. We also introduce a new algebraic structure on the positive (equivariant) symplectic homology capturing the free homotopy class of a closed Reeb orbit - the linking number filtration - and use it to give a new proof of the non-degenerate case of the contact Conley conjecture (i.e., the existence of infinitely many simple closed Reeb orbits), not relying on contact homology." @default.
- W2890889581 created "2018-09-27" @default.
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- W2890889581 date "2018-01-01" @default.
- W2890889581 modified "2023-09-27" @default.
- W2890889581 title "Filtered symplectic homology of prequantization bundles and the contact conley conjecture" @default.
- W2890889581 hasPublicationYear "2018" @default.
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