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Abstract:
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In this doctoral dissertation we de ne and investigate spectral invariants
in Floer homology for conormal bundle and Floer homology of an open sub-
set. As a key step to well de ned spectral invariants we give a construction
of Piunikhin-Salamon-Schwarz isomorphism in both of these homologies. Ad-
ditional algebraic structures, such as a product on Floer homology, give us
various inequalities between spectral invariants. We can compare spectral in-
variants from di erent Floer homologies by observing appropriate perturbed
holomorphic Riemmanian surfaces with boundary. |