Splicing integer framed knot complements and bordered Heegaard Floer homology
作者： Jonathan Hanselman
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摘要: We consider the following question: when is manifold obtained by gluing together two knot complements an $L$-space? Hedden and Levine proved that splicing 0-framed of nontrivial knots never produces $L$-space. extend this result to allow for arbitrary integer framings. find framed only $L$-space if both are framings lie in appropriate range. The proof involves a careful analysis bordered Heegaard Floer invariants each complement.
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