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Award ID contains: 1150872

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  1. ; (, Inventiones mathematicae)
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  2. ; ; ; (, Transactions of the American Mathematical Society)
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  3. ; ; (, Advances in Mathematics)
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  4. ; (, Mathematical Proceedings of the Cambridge Philosophical Society)
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    Abstract Given an L –space knot we show that its ϒ function is the Legendre transform of a counting function equivalent to the d –invariants of its large surgeries. The unknotting obstruction obtained for the ϒ function is, in the case of L –space knots, contained in the d –invariants of large surgeries. Generalisations apply for connected sums of L –space knots, which imply that the slice obstruction provided by ϒ on the subgroup of concordance generated by L –space knots is no finer than that provided by the d –invariants. 
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  5. ; (, Selecta Mathematica)
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  6. ; (, Advances in Mathematics)
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  7. ; ; (, Journal of Symplectic Geometry)
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  8. ; ; (, Journal of Differential Geometry)
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  9. ; (, Journal für die reine und angewandte Mathematik (Crelles Journal))
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    Abstract We show that the integer homology sphere obtained by splicing two nontrivial knot complements in integer homology sphere L-spaces has Heegaard Floer homology of rank strictly greater than one. In particular, splicing the complements of nontrivial knots in the 3-sphere never produces an L-space. The proof uses bordered Floer homology. 
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  10. ; ; (, Geometry & Topology)
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