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Shifted Poisson and Batalin-Vilkovisky structures on the derived variety of complexes | | Slava Pimenov
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3 Nov 2015 | | Abstract: | We study the shifted Poisson structure on the cochain complex C*(g) of a
graded Lie algebra arising from shifted Lie bialgebra structure on g. We apply
this to construct a 1-shifted Poisson structures on an infinitesimal quotient
of the derived variety of complexes RCom(V) by a subgroup of the automorphisms
of V, and a non-shifted Poisson structure on an appropriately defined derived
variety of 1-periodic complexes, extending the standard Kirillov-Kostant
Poisson structure on gl*_n. We also show that in the case of RCom(V) the
1-shifted structure is up to homotopy a Batalin-Vilkovisky algebra structure. | | Source: | arXiv, 1511.0946 | | Services: | Forum | Review | PDF | Favorites | |
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