B. Shoikhet

activity

19972007

most citedRiemann-Roch-Hirzebruch theorem and Topological Quantum Mechanics

14 citations · 48 across the 8 of their papers we have counts for

collaborators

Showing 2003 · math.QAShow all

4 papers · 2 filters

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The paper has been withdrawn.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

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