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Wrapped Floer homology of real Lagrangians and volume growth of fibered twists : 실 라그랑지안의 감싸진 플로어 호몰로지와 파이버화된 뒤틀림들의 부피 증가
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- Authors
- Advisor
- Otto van Koert
- Major
- 자연과학대학 수리과학부
- Issue Date
- 2018-02
- Publisher
- 서울대학교 대학원
- Keywords
- wrapped Floer homology ; real Lagrangian ; fibered twist ; complement of symplectic hypersurfaces ; slow volume growth
- Description
- 학위논문 (박사)-- 서울대학교 대학원 : 자연과학대학 수리과학부, 2018. 2. Otto van Koert.
- Abstract
- In this thesis we study wrapped Floer homology of real Lagrangians and its applications. We investigate an entropy-type invariant, called the slow volume growth, in the component of the group of symplectomorphisms which contain fibered twists. We give a uniform lower bound of the growth using wrapped Floer homology. We apply our results to fibered twists coming from complements of a symplectic hypersurface in a real symplectic manifold. They admit so-called real Lagrangians, and we can explicitly compute wrapped Floer homology of them using a Morse-Bott spectral sequence. We also introduce equivariant wrapped Floer homology following ideas proposed by Seidel-Smith. We then establish a Leray-Serre spectral sequence for equivariant wrapped Floer homology.
- Language
- English
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