Geodesic
Homotopy Equivalence of Shifted Cotangent Bundles
Ricardo Campos1
1IMAG, University of Montpellier, 34090 Montpellier, France
Journal of Lie Theory, Volume 29 (2019) no. 3, pp. 629-646

See the original article notice from the Heldermann Verlag source

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
Keywords: Differential graded geometry, infinity algebroids, shifted Poisson structures

Ricardo Campos  1

1 IMAG, University of Montpellier, 34090 Montpellier, France 
Ricardo Campos. Homotopy Equivalence of Shifted Cotangent Bundles. Journal of Lie Theory, Volume 29 (2019) no. 3, pp. 629-646. http://geodesic.mathdoc.fr/item/JOLT_2019_29_3_a3/
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     author = {Ricardo 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/JOLT_2019_29_3_a3/}
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