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Award ID contains: 0906258

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  1. ; (, Selecta Mathematica)
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  2. ; (, Advances in Mathematics)
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  3. ; ; (, Journal of Symplectic Geometry)
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  4. ; ; (, Journal of Differential Geometry)
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  5. ; (, 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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  6. ; ; (, Geometry & Topology)
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  7. ; (, Algebraic & Geometric Topology)
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  8. ; ; (, Algebraic & Geometric Topology)
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  9. ; (, Geometry & Topology)
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  10. ; ; (, Advances in Mathematics)
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