Geodesic
Knot Floer homology, link Floer homology and link detection
Binns, Fraser1 ; Martin, Gage2
1 Mathematics department, Boston College, Chestnut Hill, MA, United States
2 Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, United States
Algebraic and Geometric Topology, Tome 24 (2024) no. 1, pp. 159-181

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We give new link detection results for knot and link Floer homology, inspired by recent work on Khovanov homology. We show that knot Floer homology detects T(2,4), T(2,6), T(3,3), L7n1 and the link T(2,2n) with the orientation of one component reversed. We show link Floer homology detects T(2,2n) and T(n,n), for all n. Additionally, we identify infinitely many pairs of links such that both links in the pair are each detected by link Floer homology but have the same Khovanov homology and knot Floer homology. Finally, we use some of our knot Floer detection results to give topological applications of annular Khovanov homology.

DOI : 10.2140/agt.2024.24.159
Keywords: knot Floer homology, annular Khovanov homology, link detection

Binns, Fraser 1 ; Martin, Gage 2

1 Mathematics department, Boston College, Chestnut Hill, MA, United States
2 Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, United States 
@article{10_2140_agt_2024_24_159,
     author = {Binns, Fraser and Martin, Gage},
     title = {Knot {Floer} homology, link {Floer} homology and link detection},
     journal = {Algebraic and Geometric Topology},
     pages = {159--181},
     publisher = {mathdoc},
     volume = {24},
     number = {1},
     year = {2024},
     doi = {10.2140/agt.2024.24.159},
     url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2024.24.159/}
}
TY  - JOUR
AU  - Binns, Fraser
AU  - Martin, Gage
TI  - Knot Floer homology, link Floer homology and link detection
JO  - Algebraic and Geometric Topology
PY  - 2024
SP  - 159
EP  - 181
VL  - 24
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2140/agt.2024.24.159/
DO  - 10.2140/agt.2024.24.159
ID  - 10_2140_agt_2024_24_159
ER  - 
%0 Journal Article
%A Binns, Fraser
%A Martin, Gage
%T Knot Floer homology, link Floer homology and link detection
%J Algebraic and Geometric Topology
%D 2024
%P 159-181
%V 24
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2140/agt.2024.24.159/
%R 10.2140/agt.2024.24.159
%F 10_2140_agt_2024_24_159
Binns, Fraser; Martin, Gage. Knot Floer homology, link Floer homology and link detection. Algebraic and Geometric Topology, Tome 24 (2024) no. 1, pp. 159-181. doi: 10.2140/agt.2024.24.159

Cité par Sources :