Euler characteristics for spaces of string links and the modular envelope of $\mathcal{L}_{\infty}$
Homology, homotopy, and applications, Tome 20 (2018) no. 2, pp. 115-144.

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

We make calculations in graph homology which further understanding of the topology of spaces of string links, in particular, calculating the Euler characteristics of finite-dimensional summands in their homology and homotopy. In doing so, we also determine the supercharacter of the symmetric group action on the positive arity components of the modular envelope of $\mathcal{L}_{\infty} \textrm{.}$
DOI : 10.4310/HHA.2018.v20.n2.a7
Classification : 18D50, 57Q45
Keywords: string link, Euler characteristic, modular operad
@article{HHA_2018_20_2_a6,
     author = {Paul Arnaud Songhafouo Tsopm\'en\'e and Victor Turchin},
     title = {Euler characteristics for spaces of string links and the modular envelope of $\mathcal{L}_{\infty}$},
     journal = {Homology, homotopy, and applications},
     pages = {115--144},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2018},
     doi = {10.4310/HHA.2018.v20.n2.a7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2018.v20.n2.a7/}
}
TY  - JOUR
AU  - Paul Arnaud Songhafouo Tsopméné
AU  - Victor Turchin
TI  - Euler characteristics for spaces of string links and the modular envelope of $\mathcal{L}_{\infty}$
JO  - Homology, homotopy, and applications
PY  - 2018
SP  - 115
EP  - 144
VL  - 20
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2018.v20.n2.a7/
DO  - 10.4310/HHA.2018.v20.n2.a7
LA  - en
ID  - HHA_2018_20_2_a6
ER  - 
%0 Journal Article
%A Paul Arnaud Songhafouo Tsopméné
%A Victor Turchin
%T Euler characteristics for spaces of string links and the modular envelope of $\mathcal{L}_{\infty}$
%J Homology, homotopy, and applications
%D 2018
%P 115-144
%V 20
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2018.v20.n2.a7/
%R 10.4310/HHA.2018.v20.n2.a7
%G en
%F HHA_2018_20_2_a6
Paul Arnaud Songhafouo Tsopméné; Victor Turchin. Euler characteristics for spaces of string links and the modular envelope of $\mathcal{L}_{\infty}$. Homology, homotopy, and applications, Tome 20 (2018) no. 2, pp. 115-144. doi : 10.4310/HHA.2018.v20.n2.a7. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2018.v20.n2.a7/

Cité par Sources :