Local Floer Homology of Morse-Bott submanifolds

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Local Floer Homology of Morse-Bott submanifolds

수리과학부 0 192
구분 학위 논문 심사
일정 2016-12-09(금) 16:30~18:30
세미나실 129동 310호
강연자
담당교수 Otto van Koert
기타
In this talk, we give a proof a theorem states that the Floer homology of a Morse-Bott component is isomorphic to singular homology with a local coefficient system. This is one of the main ingredients of the construction of Morse-Bott spectral sequences for Hamiltonian Floer homology groups. We first explain the case of $_2$-coefficient, and then outline how to construct a suitble local system over a Morse-Bott component for general coefficient cases.

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