Title :

On the homology of the space of singular knots

Author(s) :

Abbaspour, Hossein [Auteur]
Laboratoire de Mathématiques Jean Leray [LMJL]
Chataur, David [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Homology, Homotopy and Applications

Pages :

101-126

Publisher :

International Press

Publication date :

2013

ISSN :

1532-0073

English keyword(s) :

knots
singular knots
long knots
free loops space
string operations

HAL domain(s) :

Mathématiques [math]/Topologie algébrique [math.AT]
Mathématiques [math]/Topologie géométrique [math.GT]

English abstract : [en]

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 ...
Show more >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 nontriviality of the desingularization morphism.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Opérades Bigèbres et Théories d'Homotopie

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL