Towards deformation quantization over a $$\mathbb Z$$-graded base
Yazarlar (2)
Öğr. Gör. Elif ALTINAY ÖZASLAN Kastamonu Üniversitesi, Türkiye
Vasily Dolgushev
College Of Science And Technology, Amerika Birleşik Devletleri
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Journal of Noncommutative Geometry (Q3)
Dergi ISSN 1661-6952 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI
Makale Dili İngilizce Basım Tarihi 01-2019
Cilt / Sayı / Sayfa 13 / 1 / 227–256 DOI 10.4171/JNCG/318
Makale Linki http://dx.doi.org/10.4171/jncg/318
UAK Araştırma Alanları
Cebir ve Sayılar Teorisi Geometri
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