Geodesic
Subdivisional Spaces and Graph Braid Groups
Documenta mathematica, Tome 24 (2019), pp. 1513-1583
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

We study the problem of computing the homology of the configuration spaces of a finite cell complex X. We proceed by viewing X, together with its subdivisions, as a subdivisional space – a kind of diagram object in a category of cell complexes. After developing a version of Morse theory for subdivisional spaces, we decompose X and show that the homology of the configuration spaces of X is computed by the derived tensor product of the Morse complexes of the pieces of the decomposition, an analogue of the monoidal excision property of factorization homology.
DOI : 10.4171/dm/709
Classification : 05C10, 20F36, 55R80, 55U05
Mots-clés : cell complexes, graphs, configuration spaces, subdivisional spaces, braid groups 
@article{10_4171_dm_709,
     author = {Gabriel C. Drummond-Cole and Ben Knudsen and Byung Hee An},
     title = {Subdivisional {Spaces} and {Graph} {Braid} {Groups}},
     journal = {Documenta mathematica},
     pages = {1513--1583},
     year = {2019},
     volume = {24},
     doi = {10.4171/dm/709},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/709/}
}
TY  - JOUR
AU  - Gabriel C. Drummond-Cole
AU  - Ben Knudsen
AU  - Byung Hee An
TI  - Subdivisional Spaces and Graph Braid Groups
JO  - Documenta mathematica
PY  - 2019
SP  - 1513
EP  - 1583
VL  - 24
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/709/
DO  - 10.4171/dm/709
ID  - 10_4171_dm_709
ER  - 
%0 Journal Article
%A Gabriel C. Drummond-Cole
%A Ben Knudsen
%A Byung Hee An
%T Subdivisional Spaces and Graph Braid Groups
%J Documenta mathematica
%D 2019
%P 1513-1583
%V 24
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/709/
%R 10.4171/dm/709
%F 10_4171_dm_709
Gabriel C. Drummond-Cole; Ben Knudsen; Byung Hee An. Subdivisional Spaces and Graph Braid Groups. Documenta mathematica, Tome 24 (2019), pp. 1513-1583. doi: 10.4171/dm/709

Cité par Sources :