Hochschild cohomology of noncommutative planes and quadrics
نویسندگان
چکیده
منابع مشابه
Higher order Hochschild cohomology
Following ideas of Pirashvili, we define higher order Hochschild cohomology over spheres S defined for any commutative algebra A and module M . When M = A, we prove that this cohomology is equipped with graded commutative algebra and degree d Lie algebra structures as well as with Adams operations. All operations are compatible in a suitable sense. These structures are related to Brane topology...
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In this paper we construct a graded Lie algebra on the space of cochains on a Z2-graded vector space that are skew-symmetric in the odd variables. The Lie bracket is obtained from the classical Gerstenhaber bracket by (partial) skew-symmetrization; the coboundary operator is a skew-symmetrized version of the Hochschild differential. We show that an order-one element m satisfying the zero-square...
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This paper is the third and last instalment of our project of computation of the low-degree unramified cohomology of quadrics. As in the previous papers [15] and [16], we denote by η X the map H(F,Q/Z(n− 1))→ H nr(F (X)/F,Q/Z(n− 1)) for a smooth, projective quadric X defined over a field F of characteristic 6= 2. Recall that in these papers we proved that Ker η X is generated by symbols for n ≤...
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The main result of this paper is to calculate the Batalin-Vilkovisky structure of HH∗(C∗(KPn;R);C∗(KPn;R)) for K = C andH, and R = Z and any field; and shows that in the special case when M = CP 1 = S2, and R = Z, this structure can not be identified with the BV-structure of H∗(LS 2;Z) computed by Luc Memichi in [16]. However, the induced Gerstenhaber structures are still identified in this cas...
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ژورنال
عنوان ژورنال: Journal of Noncommutative Geometry
سال: 2019
ISSN: 1661-6952
DOI: 10.4171/jncg/338