Heegaard Floer correction terms and rational genus bounds

Abstract

Given an element in the first homology of a rational homology 3– sphere Y , one can consider the minimal rational genus of all knots in this homology class. This defines a function Θ on H1(Y ;Z), which was introduced by Turaev as an analogue of Thurston norm. We will give a lower bound for this function using the correction terms in Heegaard Floer homology… (More)

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