Publications [#328059] of Adam S. Levine

Papers Published

1. Hedden, M; Levine, AS, Splicing knot complements and bordered floer homology, Journal fur die Reine und Angewandte Mathematik, vol. 2016 no. 720 (November, 2016), pp. 129-154, WALTER DE GRUYTER GMBH [doi]
   (last updated on 2024/04/19)

   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.