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Towards deformation quantization over a $\mathbb Z$-graded base   
Yazarlar
Öğr. Gör. Elif ALTINAY ÖZASLAN
Kastamonu Üniversitesi, Türkiye
Vasily Dolgushev
Özet
The goal of this note is to describe a class of formal deformations of a symplectic manifold M in the case when the base ring of the deformation problem involves parameters of non-positive degrees. The interesting feature of such deformations is that these are deformations “in A 1 -direction” and, in general, their description involves all cohomology classes of M of degrees 2.
Anahtar Kelimeler
Deformation quantization,formality morphisms
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Journal of Noncommutative Geometry
Dergi ISSN 1661-6952
Dergi Tarandığı Indeksler SCI
Dergi Grubu Q3
Makale Dili İngilizce
Basım Tarihi 01-2019
Cilt No 13
Sayı 1
Sayfalar 227 / 256
Doi Numarası 10.4171/JNCG/318
Makale Linki http://dx.doi.org/10.4171/jncg/318