Geodesic
Homotopy Equivalence of Shifted Cotangent Bundles
Journal of Lie theory, Tome 29 (2019) no. 3, pp. 629-646
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

Given a bundle of chain complexes, the algebra of functions on its shifted cotangent bundle has a natural structure of a shifted Poisson algebra. We show that if two such bundles are homotopy equivalent, the corresponding Poisson algebras are homotopy equivalent. We apply this result to L∞-algebroids to show that two homotopy equivalent bundles have the same L∞-algebroid structures and explore some consequences about the theory of shifted Poisson structures.
Classification : 58A50, 18G55, 17B63
Mots-clés : Differential graded geometry, infinity algebroids, shifted Poisson structures 
@article{JLT_2019_29_3_JLT_2019_29_3_a3,
     author = {R. Campos},
     title = {Homotopy {Equivalence} of {Shifted} {Cotangent} {Bundles}},
     journal = {Journal of Lie theory},
     pages = {629--646},
     year = {2019},
     volume = {29},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2019_29_3_JLT_2019_29_3_a3/}
}
TY  - JOUR
AU  - R. Campos
TI  - Homotopy Equivalence of Shifted Cotangent Bundles
JO  - Journal of Lie theory
PY  - 2019
SP  - 629
EP  - 646
VL  - 29
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JLT_2019_29_3_JLT_2019_29_3_a3/
ID  - JLT_2019_29_3_JLT_2019_29_3_a3
ER  - 
%0 Journal Article
%A R. Campos
%T Homotopy Equivalence of Shifted Cotangent Bundles
%J Journal of Lie theory
%D 2019
%P 629-646
%V 29
%N 3
%U http://geodesic.mathdoc.fr/item/JLT_2019_29_3_JLT_2019_29_3_a3/
%F JLT_2019_29_3_JLT_2019_29_3_a3
R. Campos. Homotopy Equivalence of Shifted Cotangent Bundles. Journal of Lie theory, Tome 29 (2019) no. 3, pp. 629-646. http://geodesic.mathdoc.fr/item/JLT_2019_29_3_JLT_2019_29_3_a3/