Published January 20, 2023
| Published
Journal Article
Open
The next-to-top term in knot Floer homology
- Creators
-
Ni, Yi
Abstract
Let K be a null-homologous knot in a generalized L-space Z with b₁(Z) ≤ 1. Let F be a Seifert surface of K with genus g. We show that if HFK(Z,K,[F],g) is supported in a single ℤ/2ℤ-grading, then rank HFK(Z,K,[F],g-1) ≥ rank HFK(Z,K,[F],g).
Additional Information
This article is published open access under our Subscribe to Open model. CC-BY-4.0 The author is indebted to Robert Lipshitz for many fruitful discussions and critical comments which shaped this work. The author also wishes to thank an anonymous referee for suggestions which improved this paper. The author was partially supported by NSF grant number DMS-1811900.Attached Files
Published - 9127416-10.4171-qt-174-print.pdf
Files
9127416-10.4171-qt-174-print.pdf
Files
(164.2 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:b502c71f81d72404d5b4159dd264fbb8
|
164.2 kB | Preview Download |
Additional details
- Eprint ID
- 119359
- Resolver ID
- CaltechAUTHORS:20230221-18374200.9
- DMS-1811900
- NSF
- Created
-
2023-04-13Created from EPrint's datestamp field
- Updated
-
2023-04-13Created from EPrint's last_modified field