Splicing knot complements and bordered Floer homology

Journal Article

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.

Full Text

Duke Authors

Levine, Adam S.

Cited Authors

Hedden, M; Levine, AS

Published Date

November 1, 2016

Published In

Journal Fur Die Reine Und Angewandte Mathematik

Volume / Issue

2016 / 720

Start / End Page

129 - 154

Published By

WALTER DE GRUYTER GMBH

Electronic International Standard Serial Number (EISSN)

1435-5345

International Standard Serial Number (ISSN)

0075-4102

Digital Object Identifier (DOI)

10.1515/crelle-2014-0064

Language

en