Geodesic
On the homology of the space of singular knots
Homology, homotopy, and applications, Tome 15 (2013) no. 1, pp. 101-126.

Voir la notice de l'article provenant de la source International Press of Boston

In this paper we introduce various associative products on the homology of the space of knots and singular knots in $S^n$. We prove that these products are related through a desingularization map. We also compute some of these products and prove the non-triviality of the desingularization morphism. Using direct computations, we prove that some of these products are indeed commutative.
DOI : 10.4310/HHA.2013.v15.n1.a6
Classification : 55N45, 55P50, 57Q45
Keywords: knot, singular knot, long knot, free loop space, string operation, chord diagram 
@article{HHA_2013_15_1_a6,
     author = {Hossein Abbaspour and David Chataur},
     title = {On the homology of the space of singular knots},
     journal = {Homology, homotopy, and applications},
     pages = {101--126},
     publisher = {mathdoc},
     volume = {15},
     number = {1},
     year = {2013},
     doi = {10.4310/HHA.2013.v15.n1.a6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n1.a6/}
}
TY  - JOUR
AU  - Hossein Abbaspour
AU  - David Chataur
TI  - On the homology of the space of singular knots
JO  - Homology, homotopy, and applications
PY  - 2013
SP  - 101
EP  - 126
VL  - 15
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n1.a6/
DO  - 10.4310/HHA.2013.v15.n1.a6
LA  - en
ID  - HHA_2013_15_1_a6
ER  - 
%0 Journal Article
%A Hossein Abbaspour
%A David Chataur
%T On the homology of the space of singular knots
%J Homology, homotopy, and applications
%D 2013
%P 101-126
%V 15
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n1.a6/
%R 10.4310/HHA.2013.v15.n1.a6
%G en
%F HHA_2013_15_1_a6
Hossein Abbaspour; David Chataur. On the homology of the space of singular knots. Homology, homotopy, and applications, Tome 15 (2013) no. 1, pp. 101-126. doi : 10.4310/HHA.2013.v15.n1.a6. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n1.a6/

Cité par Sources :