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
Cited Authors
- Hedden, M; Levine, AS
Published Date
- November 1, 2016
Published In
Volume / Issue
- 2016 / 720
Start / End Page
- 129 - 154
Published By
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