B. Shoikhet

activity

19972025

most citedDeformation quantization with traces

49 citations · 207 across the 40 of their papers we have counts for

collaborators

Showing 2003Show all

4 papers · 1 filter

math.QA2003★ 2 cited

A concept of $\frac{2}{3}$ PROP and deformation theory of (co)associative bialgebras

Boris Shoikhet

We introduce a concept of $\frac{2}{3}$ PROP generalizing the Kontsevich concept of $\frac{1}{2}$ PROP. We prove that some Stasheff-type compactification of the Kontsevich spaces $K (m, n)$ de…

math.QA2003★ 4 cited

An explicit deformation theory of (co)associative bialgebras

Boris Shoikhet

The paper has been withdrawn.

math.QA2003★ 32 cited

Hochschild cohomology of the Weyl algebra and traces in deformation quantization

Boris Feigin, Giovanni Felder, Boris Shoikhet

We give a formula for a cocycle generating the Hochschild cohomology of the Weyl algebra with coefficients in its dual.It is given by an integral over the configuration space of or…

math.QA2003★ 10 cited

The CROCs, non-commutative deformations, and (co)associative bialgebras

Boris Shoikhet

We compactify the spaces $K (m, n)$ introduced by Maxim Kontsevich. The initial idea was to construct an $L_{\infty}$ algebra governing the deformations of a (co)associative bialgebra.…

A concept of 32​PROP and deformation theory of (co)associative bialgebras

An explicit deformation theory of (co)associative bialgebras

Hochschild cohomology of the Weyl algebra and traces in deformation quantization

The CROCs, non-commutative deformations, and (co)associative bialgebras

A concept of $\frac{2}{3}$ PROP and deformation theory of (co)associative bialgebras