Geodesic
Anchored foams and annular homology
Akhmechet, Rostislav1 ; Khovanov, Mikhail2
1 Department of Mathematics, Columbia University, New York, NY, United States
2 Department of Mathematics, Johns Hopkins University, Baltimore, MD, United States
Algebraic and Geometric Topology, Tome 23 (2023) no. 7, pp. 3129-3204

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

We describe equivariant SL ⁡ (2) and SL ⁡ (3) homology for links in the thickened annulus via foam evaluation. The thickened annulus is replaced by 3–space with a distinguished line in it. Generators of state spaces for annular webs are represented by foams with boundary that may intersect the distinguished line; intersection points, called anchor points, contribute additional terms, reminiscent of square roots of the Hessian, to the foam evaluation. Both oriented and unoriented SL ⁡ (3) foams are treated.

DOI : 10.2140/agt.2023.23.3129
Keywords: Khovanov homology, annular homology, foams, foam evaluation

Akhmechet, Rostislav 1 ; Khovanov, Mikhail 2

1 Department of Mathematics, Columbia University, New York, NY, United States
2 Department of Mathematics, Johns Hopkins University, Baltimore, MD, United States 
@article{10_2140_agt_2023_23_3129,
     author = {Akhmechet, Rostislav and Khovanov, Mikhail},
     title = {Anchored foams and annular homology},
     journal = {Algebraic and Geometric Topology},
     pages = {3129--3204},
     publisher = {mathdoc},
     volume = {23},
     number = {7},
     year = {2023},
     doi = {10.2140/agt.2023.23.3129},
     url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.3129/}
}
TY  - JOUR
AU  - Akhmechet, Rostislav
AU  - Khovanov, Mikhail
TI  - Anchored foams and annular homology
JO  - Algebraic and Geometric Topology
PY  - 2023
SP  - 3129
EP  - 3204
VL  - 23
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.3129/
DO  - 10.2140/agt.2023.23.3129
ID  - 10_2140_agt_2023_23_3129
ER  - 
%0 Journal Article
%A Akhmechet, Rostislav
%A Khovanov, Mikhail
%T Anchored foams and annular homology
%J Algebraic and Geometric Topology
%D 2023
%P 3129-3204
%V 23
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2140/agt.2023.23.3129/
%R 10.2140/agt.2023.23.3129
%F 10_2140_agt_2023_23_3129
Akhmechet, Rostislav; Khovanov, Mikhail. Anchored foams and annular homology. Algebraic and Geometric Topology, Tome 23 (2023) no. 7, pp. 3129-3204. doi: 10.2140/agt.2023.23.3129

Cité par Sources :